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Finding the Fourth Proportional to 2,113.55, 3,169.62 and 880.28

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Solution

The fourth proportional to 2,113.55, 3,169.62 and 880.28 is: 1,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.55 : 3,169.62 = 880.28 : x
  2. Step 2: Convert to fraction form
    2,113.55/3,169.62 = 880.28/x
  3. Step 3: Cross multiply
    2,113.55x = 3,169.62 × 880.28
  4. Step 4: Simplify right side
    2,113.55x = 2,790,153.09
  5. Step 5: Solve for x
    x = 2,790,153.09/2,113.55
  6. Step 6: Final answer
    x = 1,320.13

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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.