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Finding the Fourth Proportional to 2,089.52, 3,134.18 and 856.58

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Solution

The fourth proportional to 2,089.52, 3,134.18 and 856.58 is: 1,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.52 : 3,134.18 = 856.58 : x
  2. Step 2: Convert to fraction form
    2,089.52/3,134.18 = 856.58/x
  3. Step 3: Cross multiply
    2,089.52x = 3,134.18 × 856.58
  4. Step 4: Simplify right side
    2,089.52x = 2,684,675.90
  5. Step 5: Solve for x
    x = 2,684,675.90/2,089.52
  6. Step 6: Final answer
    x = 1,284.83

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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.