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Finding the Fourth Proportional to 2,683.47, 4,024.56 and 1,296.12

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Solution

The fourth proportional to 2,683.47, 4,024.56 and 1,296.12 is: 1,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.47 : 4,024.56 = 1,296.12 : x
  2. Step 2: Convert to fraction form
    2,683.47/4,024.56 = 1,296.12/x
  3. Step 3: Cross multiply
    2,683.47x = 4,024.56 × 1,296.12
  4. Step 4: Simplify right side
    2,683.47x = 5,216,312.71
  5. Step 5: Solve for x
    x = 5,216,312.71/2,683.47
  6. Step 6: Final answer
    x = 1,943.87

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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.