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Finding the Fourth Proportional to 1,478.19, 2,219.31 and 928.74

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Solution

The fourth proportional to 1,478.19, 2,219.31 and 928.74 is: 1,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.19 : 2,219.31 = 928.74 : x
  2. Step 2: Convert to fraction form
    1,478.19/2,219.31 = 928.74/x
  3. Step 3: Cross multiply
    1,478.19x = 2,219.31 × 928.74
  4. Step 4: Simplify right side
    1,478.19x = 2,061,161.97
  5. Step 5: Solve for x
    x = 2,061,161.97/1,478.19
  6. Step 6: Final answer
    x = 1,394.38

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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.