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Finding the Fourth Proportional to 2,690.47, 4,034.56 and 841.08

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Solution

The fourth proportional to 2,690.47, 4,034.56 and 841.08 is: 1,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.47 : 4,034.56 = 841.08 : x
  2. Step 2: Convert to fraction form
    2,690.47/4,034.56 = 841.08/x
  3. Step 3: Cross multiply
    2,690.47x = 4,034.56 × 841.08
  4. Step 4: Simplify right side
    2,690.47x = 3,393,402.33
  5. Step 5: Solve for x
    x = 3,393,402.33/2,690.47
  6. Step 6: Final answer
    x = 1,261.27

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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.