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Finding the Fourth Proportional to 2,295.41, 3,437.64 and 1,253.85

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Solution

The fourth proportional to 2,295.41, 3,437.64 and 1,253.85 is: 1,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.41 : 3,437.64 = 1,253.85 : x
  2. Step 2: Convert to fraction form
    2,295.41/3,437.64 = 1,253.85/x
  3. Step 3: Cross multiply
    2,295.41x = 3,437.64 × 1,253.85
  4. Step 4: Simplify right side
    2,295.41x = 4,310,284.91
  5. Step 5: Solve for x
    x = 4,310,284.91/2,295.41
  6. Step 6: Final answer
    x = 1,877.78

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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.