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Finding the Fourth Proportional to 1,480.74, 2,218.80 and 1,041.20

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Solution

The fourth proportional to 1,480.74, 2,218.80 and 1,041.20 is: 1,560.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.74 : 2,218.80 = 1,041.20 : x
  2. Step 2: Convert to fraction form
    1,480.74/2,218.80 = 1,041.20/x
  3. Step 3: Cross multiply
    1,480.74x = 2,218.80 × 1,041.20
  4. Step 4: Simplify right side
    1,480.74x = 2,310,214.56
  5. Step 5: Solve for x
    x = 2,310,214.56/1,480.74
  6. Step 6: Final answer
    x = 1,560.18

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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.