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Finding the Fourth Proportional to 1,856.58, 2,785.89 and 761.71

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Solution

The fourth proportional to 1,856.58, 2,785.89 and 761.71 is: 1,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.58 : 2,785.89 = 761.71 : x
  2. Step 2: Convert to fraction form
    1,856.58/2,785.89 = 761.71/x
  3. Step 3: Cross multiply
    1,856.58x = 2,785.89 × 761.71
  4. Step 4: Simplify right side
    1,856.58x = 2,122,040.27
  5. Step 5: Solve for x
    x = 2,122,040.27/1,856.58
  6. Step 6: Final answer
    x = 1,142.98

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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.