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Finding the Fourth Proportional to 2,427, 3,641.11 and 695.63

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Solution

The fourth proportional to 2,427, 3,641.11 and 695.63 is: 1,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427 : 3,641.11 = 695.63 : x
  2. Step 2: Convert to fraction form
    2,427/3,641.11 = 695.63/x
  3. Step 3: Cross multiply
    2,427x = 3,641.11 × 695.63
  4. Step 4: Simplify right side
    2,427x = 2,532,845.40
  5. Step 5: Solve for x
    x = 2,532,845.40/2,427
  6. Step 6: Final answer
    x = 1,043.61

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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.