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Finding the Fourth Proportional to 1,635.59, 2,447.32 and 977.83

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Solution

The fourth proportional to 1,635.59, 2,447.32 and 977.83 is: 1,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.59 : 2,447.32 = 977.83 : x
  2. Step 2: Convert to fraction form
    1,635.59/2,447.32 = 977.83/x
  3. Step 3: Cross multiply
    1,635.59x = 2,447.32 × 977.83
  4. Step 4: Simplify right side
    1,635.59x = 2,393,061.08
  5. Step 5: Solve for x
    x = 2,393,061.08/1,635.59
  6. Step 6: Final answer
    x = 1,463.12

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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.