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Finding the Fourth Proportional to 3,178.95, 4,387.11 and 1,762.78

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Solution

The fourth proportional to 3,178.95, 4,387.11 and 1,762.78 is: 2,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.95 : 4,387.11 = 1,762.78 : x
  2. Step 2: Convert to fraction form
    3,178.95/4,387.11 = 1,762.78/x
  3. Step 3: Cross multiply
    3,178.95x = 4,387.11 × 1,762.78
  4. Step 4: Simplify right side
    3,178.95x = 7,733,509.77
  5. Step 5: Solve for x
    x = 7,733,509.77/3,178.95
  6. Step 6: Final answer
    x = 2,432.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.