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Finding the Fourth Proportional to 3,154.81, 4,732.29 and 1,509.55

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Solution

The fourth proportional to 3,154.81, 4,732.29 and 1,509.55 is: 2,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.81 : 4,732.29 = 1,509.55 : x
  2. Step 2: Convert to fraction form
    3,154.81/4,732.29 = 1,509.55/x
  3. Step 3: Cross multiply
    3,154.81x = 4,732.29 × 1,509.55
  4. Step 4: Simplify right side
    3,154.81x = 7,143,626.38
  5. Step 5: Solve for x
    x = 7,143,626.38/3,154.81
  6. Step 6: Final answer
    x = 2,264.36

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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.