Home / 2,282.60-3,416.10-1,449.24

Finding the Fourth Proportional to 2,282.60, 3,416.10 and 1,449.24

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Solution

The fourth proportional to 2,282.60, 3,416.10 and 1,449.24 is: 2,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.60 : 3,416.10 = 1,449.24 : x
  2. Step 2: Convert to fraction form
    2,282.60/3,416.10 = 1,449.24/x
  3. Step 3: Cross multiply
    2,282.60x = 3,416.10 × 1,449.24
  4. Step 4: Simplify right side
    2,282.60x = 4,950,748.76
  5. Step 5: Solve for x
    x = 4,950,748.76/2,282.60
  6. Step 6: Final answer
    x = 2,168.91

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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.