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Finding the Fourth Proportional to 2,025.24, 3,036.53 and 638.16

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Solution

The fourth proportional to 2,025.24, 3,036.53 and 638.16 is: 956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.24 : 3,036.53 = 638.16 : x
  2. Step 2: Convert to fraction form
    2,025.24/3,036.53 = 638.16/x
  3. Step 3: Cross multiply
    2,025.24x = 3,036.53 × 638.16
  4. Step 4: Simplify right side
    2,025.24x = 1,937,778.40
  5. Step 5: Solve for x
    x = 1,937,778.40/2,025.24
  6. Step 6: Final answer
    x = 956.82

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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.