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Finding the Fourth Proportional to 2,041.20, 2,851.20 and 2,041.20

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Solution

The fourth proportional to 2,041.20, 2,851.20 and 2,041.20 is: 2,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.20 : 2,851.20 = 2,041.20 : x
  2. Step 2: Convert to fraction form
    2,041.20/2,851.20 = 2,041.20/x
  3. Step 3: Cross multiply
    2,041.20x = 2,851.20 × 2,041.20
  4. Step 4: Simplify right side
    2,041.20x = 5,819,869.44
  5. Step 5: Solve for x
    x = 5,819,869.44/2,041.20
  6. Step 6: Final answer
    x = 2,851.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.