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Finding the Fourth Proportional to 3,137.16, 4,706.10 and 1,162.74

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Solution

The fourth proportional to 3,137.16, 4,706.10 and 1,162.74 is: 1,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.16 : 4,706.10 = 1,162.74 : x
  2. Step 2: Convert to fraction form
    3,137.16/4,706.10 = 1,162.74/x
  3. Step 3: Cross multiply
    3,137.16x = 4,706.10 × 1,162.74
  4. Step 4: Simplify right side
    3,137.16x = 5,471,970.71
  5. Step 5: Solve for x
    x = 5,471,970.71/3,137.16
  6. Step 6: Final answer
    x = 1,744.24

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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.