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Finding the Fourth Proportional to 2,483.56, 3,724.72 and 752.16

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Solution

The fourth proportional to 2,483.56, 3,724.72 and 752.16 is: 1,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.56 : 3,724.72 = 752.16 : x
  2. Step 2: Convert to fraction form
    2,483.56/3,724.72 = 752.16/x
  3. Step 3: Cross multiply
    2,483.56x = 3,724.72 × 752.16
  4. Step 4: Simplify right side
    2,483.56x = 2,801,585.40
  5. Step 5: Solve for x
    x = 2,801,585.40/2,483.56
  6. Step 6: Final answer
    x = 1,128.05

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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.