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Finding the Fourth Proportional to 2,762.47, 4,139.61 and 2,143.13

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Solution

The fourth proportional to 2,762.47, 4,139.61 and 2,143.13 is: 3,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.47 : 4,139.61 = 2,143.13 : x
  2. Step 2: Convert to fraction form
    2,762.47/4,139.61 = 2,143.13/x
  3. Step 3: Cross multiply
    2,762.47x = 4,139.61 × 2,143.13
  4. Step 4: Simplify right side
    2,762.47x = 8,871,693.64
  5. Step 5: Solve for x
    x = 8,871,693.64/2,762.47
  6. Step 6: Final answer
    x = 3,211.51

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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.