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Finding the Fourth Proportional to 1,829,317.02, 2,743,534.49 and 763,781.46

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Solution

The fourth proportional to 1,829,317.02, 2,743,534.49 and 763,781.46 is: 1,145,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,317.02 : 2,743,534.49 = 763,781.46 : x
  2. Step 2: Convert to fraction form
    1,829,317.02/2,743,534.49 = 763,781.46/x
  3. Step 3: Cross multiply
    1,829,317.02x = 2,743,534.49 × 763,781.46
  4. Step 4: Simplify right side
    1,829,317.02x = 2,095,460,778,332.56
  5. Step 5: Solve for x
    x = 2,095,460,778,332.56/1,829,317.02
  6. Step 6: Final answer
    x = 1,145,488.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.