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Finding the Fourth Proportional to 1,482.74, 2,221.80 and 1,043.20

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Solution

The fourth proportional to 1,482.74, 2,221.80 and 1,043.20 is: 1,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.74 : 2,221.80 = 1,043.20 : x
  2. Step 2: Convert to fraction form
    1,482.74/2,221.80 = 1,043.20/x
  3. Step 3: Cross multiply
    1,482.74x = 2,221.80 × 1,043.20
  4. Step 4: Simplify right side
    1,482.74x = 2,317,781.76
  5. Step 5: Solve for x
    x = 2,317,781.76/1,482.74
  6. Step 6: Final answer
    x = 1,563.17

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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.