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Finding the Fourth Proportional to 1,737.59, 2,606.14 and 641.77

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Solution

The fourth proportional to 1,737.59, 2,606.14 and 641.77 is: 962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.59 : 2,606.14 = 641.77 : x
  2. Step 2: Convert to fraction form
    1,737.59/2,606.14 = 641.77/x
  3. Step 3: Cross multiply
    1,737.59x = 2,606.14 × 641.77
  4. Step 4: Simplify right side
    1,737.59x = 1,672,542.47
  5. Step 5: Solve for x
    x = 1,672,542.47/1,737.59
  6. Step 6: Final answer
    x = 962.56

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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.