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Finding the Fourth Proportional to 1,737.91, 2,606.32 and 505.41

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Solution

The fourth proportional to 1,737.91, 2,606.32 and 505.41 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.91 : 2,606.32 = 505.41 : x
  2. Step 2: Convert to fraction form
    1,737.91/2,606.32 = 505.41/x
  3. Step 3: Cross multiply
    1,737.91x = 2,606.32 × 505.41
  4. Step 4: Simplify right side
    1,737.91x = 1,317,260.19
  5. Step 5: Solve for x
    x = 1,317,260.19/1,737.91
  6. Step 6: Final answer
    x = 757.96

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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.