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Finding the Fourth Proportional to 2,920.60, 4,378.12 and 971.44

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Solution

The fourth proportional to 2,920.60, 4,378.12 and 971.44 is: 1,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.60 : 4,378.12 = 971.44 : x
  2. Step 2: Convert to fraction form
    2,920.60/4,378.12 = 971.44/x
  3. Step 3: Cross multiply
    2,920.60x = 4,378.12 × 971.44
  4. Step 4: Simplify right side
    2,920.60x = 4,253,080.89
  5. Step 5: Solve for x
    x = 4,253,080.89/2,920.60
  6. Step 6: Final answer
    x = 1,456.24

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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.