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Finding the Fourth Proportional to 1,861.46, 2,792.66 and 1,314.71

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Solution

The fourth proportional to 1,861.46, 2,792.66 and 1,314.71 is: 1,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.46 : 2,792.66 = 1,314.71 : x
  2. Step 2: Convert to fraction form
    1,861.46/2,792.66 = 1,314.71/x
  3. Step 3: Cross multiply
    1,861.46x = 2,792.66 × 1,314.71
  4. Step 4: Simplify right side
    1,861.46x = 3,671,538.03
  5. Step 5: Solve for x
    x = 3,671,538.03/1,861.46
  6. Step 6: Final answer
    x = 1,972.40

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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.