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Finding the Fourth Proportional to 2,002.68, 3,002.40 and 906.48

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Solution

The fourth proportional to 2,002.68, 3,002.40 and 906.48 is: 1,358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.68 : 3,002.40 = 906.48 : x
  2. Step 2: Convert to fraction form
    2,002.68/3,002.40 = 906.48/x
  3. Step 3: Cross multiply
    2,002.68x = 3,002.40 × 906.48
  4. Step 4: Simplify right side
    2,002.68x = 2,721,615.55
  5. Step 5: Solve for x
    x = 2,721,615.55/2,002.68
  6. Step 6: Final answer
    x = 1,358.99

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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.