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Finding the Fourth Proportional to 2,875.60, 4,314.08 and 927.82

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Solution

The fourth proportional to 2,875.60, 4,314.08 and 927.82 is: 1,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.60 : 4,314.08 = 927.82 : x
  2. Step 2: Convert to fraction form
    2,875.60/4,314.08 = 927.82/x
  3. Step 3: Cross multiply
    2,875.60x = 4,314.08 × 927.82
  4. Step 4: Simplify right side
    2,875.60x = 4,002,689.71
  5. Step 5: Solve for x
    x = 4,002,689.71/2,875.60
  6. Step 6: Final answer
    x = 1,391.95

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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.