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Finding the Fourth Proportional to 2,646.90, 3,968.10 and 1,002.96

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Solution

The fourth proportional to 2,646.90, 3,968.10 and 1,002.96 is: 1,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.90 : 3,968.10 = 1,002.96 : x
  2. Step 2: Convert to fraction form
    2,646.90/3,968.10 = 1,002.96/x
  3. Step 3: Cross multiply
    2,646.90x = 3,968.10 × 1,002.96
  4. Step 4: Simplify right side
    2,646.90x = 3,979,845.58
  5. Step 5: Solve for x
    x = 3,979,845.58/2,646.90
  6. Step 6: Final answer
    x = 1,503.59

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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.