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Finding the Fourth Proportional to 3,148.47, 4,720.57 and 1,762.76

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Solution

The fourth proportional to 3,148.47, 4,720.57 and 1,762.76 is: 2,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.47 : 4,720.57 = 1,762.76 : x
  2. Step 2: Convert to fraction form
    3,148.47/4,720.57 = 1,762.76/x
  3. Step 3: Cross multiply
    3,148.47x = 4,720.57 × 1,762.76
  4. Step 4: Simplify right side
    3,148.47x = 8,321,231.97
  5. Step 5: Solve for x
    x = 8,321,231.97/3,148.47
  6. Step 6: Final answer
    x = 2,642.94

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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.