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Finding the Fourth Proportional to 2,631.88, 3,943.50 and 899.56

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Solution

The fourth proportional to 2,631.88, 3,943.50 and 899.56 is: 1,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.88 : 3,943.50 = 899.56 : x
  2. Step 2: Convert to fraction form
    2,631.88/3,943.50 = 899.56/x
  3. Step 3: Cross multiply
    2,631.88x = 3,943.50 × 899.56
  4. Step 4: Simplify right side
    2,631.88x = 3,547,414.86
  5. Step 5: Solve for x
    x = 3,547,414.86/2,631.88
  6. Step 6: Final answer
    x = 1,347.86

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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.