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Finding the Fourth Proportional to 2,615.98, 3,925.51 and 972.49

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Solution

The fourth proportional to 2,615.98, 3,925.51 and 972.49 is: 1,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.98 : 3,925.51 = 972.49 : x
  2. Step 2: Convert to fraction form
    2,615.98/3,925.51 = 972.49/x
  3. Step 3: Cross multiply
    2,615.98x = 3,925.51 × 972.49
  4. Step 4: Simplify right side
    2,615.98x = 3,817,494.73
  5. Step 5: Solve for x
    x = 3,817,494.73/2,615.98
  6. Step 6: Final answer
    x = 1,459.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.