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Finding the Fourth Proportional to 2,298.52, 3,447.71 and 1,367.85

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Solution

The fourth proportional to 2,298.52, 3,447.71 and 1,367.85 is: 2,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.52 : 3,447.71 = 1,367.85 : x
  2. Step 2: Convert to fraction form
    2,298.52/3,447.71 = 1,367.85/x
  3. Step 3: Cross multiply
    2,298.52x = 3,447.71 × 1,367.85
  4. Step 4: Simplify right side
    2,298.52x = 4,715,926.05
  5. Step 5: Solve for x
    x = 4,715,926.05/2,298.52
  6. Step 6: Final answer
    x = 2,051.72

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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.