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Finding the Fourth Proportional to 3,130.57, 4,695.81 and 1,281.16

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Solution

The fourth proportional to 3,130.57, 4,695.81 and 1,281.16 is: 1,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.57 : 4,695.81 = 1,281.16 : x
  2. Step 2: Convert to fraction form
    3,130.57/4,695.81 = 1,281.16/x
  3. Step 3: Cross multiply
    3,130.57x = 4,695.81 × 1,281.16
  4. Step 4: Simplify right side
    3,130.57x = 6,016,083.94
  5. Step 5: Solve for x
    x = 6,016,083.94/3,130.57
  6. Step 6: Final answer
    x = 1,921.72

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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.