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Finding the Fourth Proportional to 2,341.18, 3,513.12 and 880.24

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Solution

The fourth proportional to 2,341.18, 3,513.12 and 880.24 is: 1,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.18 : 3,513.12 = 880.24 : x
  2. Step 2: Convert to fraction form
    2,341.18/3,513.12 = 880.24/x
  3. Step 3: Cross multiply
    2,341.18x = 3,513.12 × 880.24
  4. Step 4: Simplify right side
    2,341.18x = 3,092,388.75
  5. Step 5: Solve for x
    x = 3,092,388.75/2,341.18
  6. Step 6: Final answer
    x = 1,320.87

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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.