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Finding the Fourth Proportional to 1,737.04, 2,606.20 and 642.16

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Solution

The fourth proportional to 1,737.04, 2,606.20 and 642.16 is: 963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.04 : 2,606.20 = 642.16 : x
  2. Step 2: Convert to fraction form
    1,737.04/2,606.20 = 642.16/x
  3. Step 3: Cross multiply
    1,737.04x = 2,606.20 × 642.16
  4. Step 4: Simplify right side
    1,737.04x = 1,673,597.39
  5. Step 5: Solve for x
    x = 1,673,597.39/1,737.04
  6. Step 6: Final answer
    x = 963.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.