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Finding the Fourth Proportional to 2,646.78, 3,971.68 and 1,002.88

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Solution

The fourth proportional to 2,646.78, 3,971.68 and 1,002.88 is: 1,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.78 : 3,971.68 = 1,002.88 : x
  2. Step 2: Convert to fraction form
    2,646.78/3,971.68 = 1,002.88/x
  3. Step 3: Cross multiply
    2,646.78x = 3,971.68 × 1,002.88
  4. Step 4: Simplify right side
    2,646.78x = 3,983,126.54
  5. Step 5: Solve for x
    x = 3,983,126.54/2,646.78
  6. Step 6: Final answer
    x = 1,504.90

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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.