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Finding the Fourth Proportional to 2,919.60, 4,380.03 and 971.76

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Solution

The fourth proportional to 2,919.60, 4,380.03 and 971.76 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.60 : 4,380.03 = 971.76 : x
  2. Step 2: Convert to fraction form
    2,919.60/4,380.03 = 971.76/x
  3. Step 3: Cross multiply
    2,919.60x = 4,380.03 × 971.76
  4. Step 4: Simplify right side
    2,919.60x = 4,256,337.95
  5. Step 5: Solve for x
    x = 4,256,337.95/2,919.60
  6. Step 6: Final answer
    x = 1,457.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.