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Finding the Fourth Proportional to 2,566.47, 3,849.70 and 717.60

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Solution

The fourth proportional to 2,566.47, 3,849.70 and 717.60 is: 1,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.47 : 3,849.70 = 717.60 : x
  2. Step 2: Convert to fraction form
    2,566.47/3,849.70 = 717.60/x
  3. Step 3: Cross multiply
    2,566.47x = 3,849.70 × 717.60
  4. Step 4: Simplify right side
    2,566.47x = 2,762,525.47
  5. Step 5: Solve for x
    x = 2,762,525.47/2,566.47
  6. Step 6: Final answer
    x = 1,076.39

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Similar ratio
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1.5x scale

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.