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Finding the Fourth Proportional to 2,842.80, 4,264.50 and 1,199.13

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Solution

The fourth proportional to 2,842.80, 4,264.50 and 1,199.13 is: 1,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.80 : 4,264.50 = 1,199.13 : x
  2. Step 2: Convert to fraction form
    2,842.80/4,264.50 = 1,199.13/x
  3. Step 3: Cross multiply
    2,842.80x = 4,264.50 × 1,199.13
  4. Step 4: Simplify right side
    2,842.80x = 5,113,683.64
  5. Step 5: Solve for x
    x = 5,113,683.64/2,842.80
  6. Step 6: Final answer
    x = 1,798.82

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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.