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Finding the Fourth Proportional to 1,856.78, 2,781.58 and 1,032.56

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Solution

The fourth proportional to 1,856.78, 2,781.58 and 1,032.56 is: 1,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.78 : 2,781.58 = 1,032.56 : x
  2. Step 2: Convert to fraction form
    1,856.78/2,781.58 = 1,032.56/x
  3. Step 3: Cross multiply
    1,856.78x = 2,781.58 × 1,032.56
  4. Step 4: Simplify right side
    1,856.78x = 2,872,148.24
  5. Step 5: Solve for x
    x = 2,872,148.24/1,856.78
  6. Step 6: Final answer
    x = 1,546.84

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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.