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Finding the Fourth Proportional to 2,042.65, 2,821.38 and 1,482.22

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Solution

The fourth proportional to 2,042.65, 2,821.38 and 1,482.22 is: 2,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.65 : 2,821.38 = 1,482.22 : x
  2. Step 2: Convert to fraction form
    2,042.65/2,821.38 = 1,482.22/x
  3. Step 3: Cross multiply
    2,042.65x = 2,821.38 × 1,482.22
  4. Step 4: Simplify right side
    2,042.65x = 4,181,891.76
  5. Step 5: Solve for x
    x = 4,181,891.76/2,042.65
  6. Step 6: Final answer
    x = 2,047.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.