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Finding the Fourth Proportional to 2,668.48, 4,002.72 and 1,025.80

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Solution

The fourth proportional to 2,668.48, 4,002.72 and 1,025.80 is: 1,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.48 : 4,002.72 = 1,025.80 : x
  2. Step 2: Convert to fraction form
    2,668.48/4,002.72 = 1,025.80/x
  3. Step 3: Cross multiply
    2,668.48x = 4,002.72 × 1,025.80
  4. Step 4: Simplify right side
    2,668.48x = 4,105,990.18
  5. Step 5: Solve for x
    x = 4,105,990.18/2,668.48
  6. Step 6: Final answer
    x = 1,538.70

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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.