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Finding the Fourth Proportional to 2,938.60, 4,410.06 and 1,478.80

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Solution

The fourth proportional to 2,938.60, 4,410.06 and 1,478.80 is: 2,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.60 : 4,410.06 = 1,478.80 : x
  2. Step 2: Convert to fraction form
    2,938.60/4,410.06 = 1,478.80/x
  3. Step 3: Cross multiply
    2,938.60x = 4,410.06 × 1,478.80
  4. Step 4: Simplify right side
    2,938.60x = 6,521,596.73
  5. Step 5: Solve for x
    x = 6,521,596.73/2,938.60
  6. Step 6: Final answer
    x = 2,219.29

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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.