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Finding the Fourth Proportional to 2,521.52, 3,779.74 and 961.12

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Solution

The fourth proportional to 2,521.52, 3,779.74 and 961.12 is: 1,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.52 : 3,779.74 = 961.12 : x
  2. Step 2: Convert to fraction form
    2,521.52/3,779.74 = 961.12/x
  3. Step 3: Cross multiply
    2,521.52x = 3,779.74 × 961.12
  4. Step 4: Simplify right side
    2,521.52x = 3,632,783.71
  5. Step 5: Solve for x
    x = 3,632,783.71/2,521.52
  6. Step 6: Final answer
    x = 1,440.71

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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.