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Finding the Fourth Proportional to 1,934.10, 2,888.87 and 1,661.22

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Solution

The fourth proportional to 1,934.10, 2,888.87 and 1,661.22 is: 2,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.10 : 2,888.87 = 1,661.22 : x
  2. Step 2: Convert to fraction form
    1,934.10/2,888.87 = 1,661.22/x
  3. Step 3: Cross multiply
    1,934.10x = 2,888.87 × 1,661.22
  4. Step 4: Simplify right side
    1,934.10x = 4,799,040.32
  5. Step 5: Solve for x
    x = 4,799,040.32/1,934.10
  6. Step 6: Final answer
    x = 2,481.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.