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Finding the Fourth Proportional to 1,605.43, 2,406.29 and 737.92

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Solution

The fourth proportional to 1,605.43, 2,406.29 and 737.92 is: 1,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.43 : 2,406.29 = 737.92 : x
  2. Step 2: Convert to fraction form
    1,605.43/2,406.29 = 737.92/x
  3. Step 3: Cross multiply
    1,605.43x = 2,406.29 × 737.92
  4. Step 4: Simplify right side
    1,605.43x = 1,775,639.81
  5. Step 5: Solve for x
    x = 1,775,639.81/1,605.43
  6. Step 6: Final answer
    x = 1,106.02

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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.