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Finding the Fourth Proportional to 3,143.46, 4,715.22 and 1,411.68

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Solution

The fourth proportional to 3,143.46, 4,715.22 and 1,411.68 is: 2,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.46 : 4,715.22 = 1,411.68 : x
  2. Step 2: Convert to fraction form
    3,143.46/4,715.22 = 1,411.68/x
  3. Step 3: Cross multiply
    3,143.46x = 4,715.22 × 1,411.68
  4. Step 4: Simplify right side
    3,143.46x = 6,656,381.77
  5. Step 5: Solve for x
    x = 6,656,381.77/3,143.46
  6. Step 6: Final answer
    x = 2,117.53

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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.