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Finding the Fourth Proportional to 1,635.68, 2,454.59 and 977.06

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Solution

The fourth proportional to 1,635.68, 2,454.59 and 977.06 is: 1,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.68 : 2,454.59 = 977.06 : x
  2. Step 2: Convert to fraction form
    1,635.68/2,454.59 = 977.06/x
  3. Step 3: Cross multiply
    1,635.68x = 2,454.59 × 977.06
  4. Step 4: Simplify right side
    1,635.68x = 2,398,286.62
  5. Step 5: Solve for x
    x = 2,398,286.62/1,635.68
  6. Step 6: Final answer
    x = 1,466.23

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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.