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Finding the Fourth Proportional to 1,478.08, 2,216.08 and 1,330.44

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Solution

The fourth proportional to 1,478.08, 2,216.08 and 1,330.44 is: 1,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.08 : 2,216.08 = 1,330.44 : x
  2. Step 2: Convert to fraction form
    1,478.08/2,216.08 = 1,330.44/x
  3. Step 3: Cross multiply
    1,478.08x = 2,216.08 × 1,330.44
  4. Step 4: Simplify right side
    1,478.08x = 2,948,361.48
  5. Step 5: Solve for x
    x = 2,948,361.48/1,478.08
  6. Step 6: Final answer
    x = 1,994.72

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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.