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Finding the Fourth Proportional to 3,345, 5,011.64 and 1,781.70

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Solution

The fourth proportional to 3,345, 5,011.64 and 1,781.70 is: 2,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345 : 5,011.64 = 1,781.70 : x
  2. Step 2: Convert to fraction form
    3,345/5,011.64 = 1,781.70/x
  3. Step 3: Cross multiply
    3,345x = 5,011.64 × 1,781.70
  4. Step 4: Simplify right side
    3,345x = 8,929,238.99
  5. Step 5: Solve for x
    x = 8,929,238.99/3,345
  6. Step 6: Final answer
    x = 2,669.43

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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.