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Finding the Fourth Proportional to 2,374.71, 3,275.74 and 1,379.86

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Solution

The fourth proportional to 2,374.71, 3,275.74 and 1,379.86 is: 1,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.71 : 3,275.74 = 1,379.86 : x
  2. Step 2: Convert to fraction form
    2,374.71/3,275.74 = 1,379.86/x
  3. Step 3: Cross multiply
    2,374.71x = 3,275.74 × 1,379.86
  4. Step 4: Simplify right side
    2,374.71x = 4,520,062.60
  5. Step 5: Solve for x
    x = 4,520,062.60/2,374.71
  6. Step 6: Final answer
    x = 1,903.42

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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.