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Finding the Fourth Proportional to 2,615.90, 3,924.90 and 972.54

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Solution

The fourth proportional to 2,615.90, 3,924.90 and 972.54 is: 1,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.90 : 3,924.90 = 972.54 : x
  2. Step 2: Convert to fraction form
    2,615.90/3,924.90 = 972.54/x
  3. Step 3: Cross multiply
    2,615.90x = 3,924.90 × 972.54
  4. Step 4: Simplify right side
    2,615.90x = 3,817,122.25
  5. Step 5: Solve for x
    x = 3,817,122.25/2,615.90
  6. Step 6: Final answer
    x = 1,459.20

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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.