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Finding the Fourth Proportional to 1,635.59, 2,456.38 and 856.12

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Solution

The fourth proportional to 1,635.59, 2,456.38 and 856.12 is: 1,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.59 : 2,456.38 = 856.12 : x
  2. Step 2: Convert to fraction form
    1,635.59/2,456.38 = 856.12/x
  3. Step 3: Cross multiply
    1,635.59x = 2,456.38 × 856.12
  4. Step 4: Simplify right side
    1,635.59x = 2,102,950.76
  5. Step 5: Solve for x
    x = 2,102,950.76/1,635.59
  6. Step 6: Final answer
    x = 1,285.74

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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.