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Finding the Fourth Proportional to 2,427.26, 3,641.10 and 695.90

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Solution

The fourth proportional to 2,427.26, 3,641.10 and 695.90 is: 1,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.26 : 3,641.10 = 695.90 : x
  2. Step 2: Convert to fraction form
    2,427.26/3,641.10 = 695.90/x
  3. Step 3: Cross multiply
    2,427.26x = 3,641.10 × 695.90
  4. Step 4: Simplify right side
    2,427.26x = 2,533,841.49
  5. Step 5: Solve for x
    x = 2,533,841.49/2,427.26
  6. Step 6: Final answer
    x = 1,043.91

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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.