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Finding the Fourth Proportional to 1,737.70, 2,606.94 and 642.10

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Solution

The fourth proportional to 1,737.70, 2,606.94 and 642.10 is: 963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.70 : 2,606.94 = 642.10 : x
  2. Step 2: Convert to fraction form
    1,737.70/2,606.94 = 642.10/x
  3. Step 3: Cross multiply
    1,737.70x = 2,606.94 × 642.10
  4. Step 4: Simplify right side
    1,737.70x = 1,673,916.17
  5. Step 5: Solve for x
    x = 1,673,916.17/1,737.70
  6. Step 6: Final answer
    x = 963.29

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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.