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Finding the Fourth Proportional to 2,918.96, 4,377.47 and 944.12

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Solution

The fourth proportional to 2,918.96, 4,377.47 and 944.12 is: 1,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.96 : 4,377.47 = 944.12 : x
  2. Step 2: Convert to fraction form
    2,918.96/4,377.47 = 944.12/x
  3. Step 3: Cross multiply
    2,918.96x = 4,377.47 × 944.12
  4. Step 4: Simplify right side
    2,918.96x = 4,132,856.98
  5. Step 5: Solve for x
    x = 4,132,856.98/2,918.96
  6. Step 6: Final answer
    x = 1,415.87

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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.