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Finding the Fourth Proportional to 2,778.95, 4,159.71 and 1,542.40

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Solution

The fourth proportional to 2,778.95, 4,159.71 and 1,542.40 is: 2,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.95 : 4,159.71 = 1,542.40 : x
  2. Step 2: Convert to fraction form
    2,778.95/4,159.71 = 1,542.40/x
  3. Step 3: Cross multiply
    2,778.95x = 4,159.71 × 1,542.40
  4. Step 4: Simplify right side
    2,778.95x = 6,415,926.30
  5. Step 5: Solve for x
    x = 6,415,926.30/2,778.95
  6. Step 6: Final answer
    x = 2,308.76

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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.