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Finding the Fourth Proportional to 2,920.10, 4,380.43 and 972.44

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Solution

The fourth proportional to 2,920.10, 4,380.43 and 972.44 is: 1,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.10 : 4,380.43 = 972.44 : x
  2. Step 2: Convert to fraction form
    2,920.10/4,380.43 = 972.44/x
  3. Step 3: Cross multiply
    2,920.10x = 4,380.43 × 972.44
  4. Step 4: Simplify right side
    2,920.10x = 4,259,705.35
  5. Step 5: Solve for x
    x = 4,259,705.35/2,920.10
  6. Step 6: Final answer
    x = 1,458.75

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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.