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Finding the Fourth Proportional to 2,668.60, 4,001.40 and 1,025.20

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Solution

The fourth proportional to 2,668.60, 4,001.40 and 1,025.20 is: 1,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.60 : 4,001.40 = 1,025.20 : x
  2. Step 2: Convert to fraction form
    2,668.60/4,001.40 = 1,025.20/x
  3. Step 3: Cross multiply
    2,668.60x = 4,001.40 × 1,025.20
  4. Step 4: Simplify right side
    2,668.60x = 4,102,235.28
  5. Step 5: Solve for x
    x = 4,102,235.28/2,668.60
  6. Step 6: Final answer
    x = 1,537.22

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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.