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Finding the Fourth Proportional to 1,674.03, 2,309.04 and 1,010.19

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Solution

The fourth proportional to 1,674.03, 2,309.04 and 1,010.19 is: 1,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.03 : 2,309.04 = 1,010.19 : x
  2. Step 2: Convert to fraction form
    1,674.03/2,309.04 = 1,010.19/x
  3. Step 3: Cross multiply
    1,674.03x = 2,309.04 × 1,010.19
  4. Step 4: Simplify right side
    1,674.03x = 2,332,569.12
  5. Step 5: Solve for x
    x = 2,332,569.12/1,674.03
  6. Step 6: Final answer
    x = 1,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.