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Finding the Fourth Proportional to 2,419.17, 3,630.38 and 880.17

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Solution

The fourth proportional to 2,419.17, 3,630.38 and 880.17 is: 1,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.17 : 3,630.38 = 880.17 : x
  2. Step 2: Convert to fraction form
    2,419.17/3,630.38 = 880.17/x
  3. Step 3: Cross multiply
    2,419.17x = 3,630.38 × 880.17
  4. Step 4: Simplify right side
    2,419.17x = 3,195,364.08
  5. Step 5: Solve for x
    x = 3,195,364.08/2,419.17
  6. Step 6: Final answer
    x = 1,320.85

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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.