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Finding the Fourth Proportional to 2,521.40, 3,779.56 and 961.01

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Solution

The fourth proportional to 2,521.40, 3,779.56 and 961.01 is: 1,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.40 : 3,779.56 = 961.01 : x
  2. Step 2: Convert to fraction form
    2,521.40/3,779.56 = 961.01/x
  3. Step 3: Cross multiply
    2,521.40x = 3,779.56 × 961.01
  4. Step 4: Simplify right side
    2,521.40x = 3,632,194.96
  5. Step 5: Solve for x
    x = 3,632,194.96/2,521.40
  6. Step 6: Final answer
    x = 1,440.55

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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.