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Finding the Fourth Proportional to 3,114.86, 4,298.15 and 1,855.74

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Solution

The fourth proportional to 3,114.86, 4,298.15 and 1,855.74 is: 2,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.86 : 4,298.15 = 1,855.74 : x
  2. Step 2: Convert to fraction form
    3,114.86/4,298.15 = 1,855.74/x
  3. Step 3: Cross multiply
    3,114.86x = 4,298.15 × 1,855.74
  4. Step 4: Simplify right side
    3,114.86x = 7,976,253.52
  5. Step 5: Solve for x
    x = 7,976,253.52/3,114.86
  6. Step 6: Final answer
    x = 2,560.71

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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.