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Finding the Fourth Proportional to 1,857.71, 2,785.55 and 762.86

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Solution

The fourth proportional to 1,857.71, 2,785.55 and 762.86 is: 1,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.71 : 2,785.55 = 762.86 : x
  2. Step 2: Convert to fraction form
    1,857.71/2,785.55 = 762.86/x
  3. Step 3: Cross multiply
    1,857.71x = 2,785.55 × 762.86
  4. Step 4: Simplify right side
    1,857.71x = 2,124,966.93
  5. Step 5: Solve for x
    x = 2,124,966.93/1,857.71
  6. Step 6: Final answer
    x = 1,143.87

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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.