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Finding the Fourth Proportional to 2,762.32, 4,139.42 and 2,178.72

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Solution

The fourth proportional to 2,762.32, 4,139.42 and 2,178.72 is: 3,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.32 : 4,139.42 = 2,178.72 : x
  2. Step 2: Convert to fraction form
    2,762.32/4,139.42 = 2,178.72/x
  3. Step 3: Cross multiply
    2,762.32x = 4,139.42 × 2,178.72
  4. Step 4: Simplify right side
    2,762.32x = 9,018,637.14
  5. Step 5: Solve for x
    x = 9,018,637.14/2,762.32
  6. Step 6: Final answer
    x = 3,264.88

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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.