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Finding the Fourth Proportional to 2,155.18, 3,232.80 and 616.18

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Solution

The fourth proportional to 2,155.18, 3,232.80 and 616.18 is: 924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.18 : 3,232.80 = 616.18 : x
  2. Step 2: Convert to fraction form
    2,155.18/3,232.80 = 616.18/x
  3. Step 3: Cross multiply
    2,155.18x = 3,232.80 × 616.18
  4. Step 4: Simplify right side
    2,155.18x = 1,991,986.70
  5. Step 5: Solve for x
    x = 1,991,986.70/2,155.18
  6. Step 6: Final answer
    x = 924.28

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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.