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Finding the Fourth Proportional to 2,938.88, 4,409.16 and 1,478

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Solution

The fourth proportional to 2,938.88, 4,409.16 and 1,478 is: 2,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.88 : 4,409.16 = 1,478 : x
  2. Step 2: Convert to fraction form
    2,938.88/4,409.16 = 1,478/x
  3. Step 3: Cross multiply
    2,938.88x = 4,409.16 × 1,478
  4. Step 4: Simplify right side
    2,938.88x = 6,516,738.48
  5. Step 5: Solve for x
    x = 6,516,738.48/2,938.88
  6. Step 6: Final answer
    x = 2,217.42

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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.