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Finding the Fourth Proportional to 2,920.24, 4,380.36 and 971.68

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Solution

The fourth proportional to 2,920.24, 4,380.36 and 971.68 is: 1,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.24 : 4,380.36 = 971.68 : x
  2. Step 2: Convert to fraction form
    2,920.24/4,380.36 = 971.68/x
  3. Step 3: Cross multiply
    2,920.24x = 4,380.36 × 971.68
  4. Step 4: Simplify right side
    2,920.24x = 4,256,308.20
  5. Step 5: Solve for x
    x = 4,256,308.20/2,920.24
  6. Step 6: Final answer
    x = 1,457.52

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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.