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Finding the Fourth Proportional to 1,841.34, 2,541.10 and 1,002.08

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Solution

The fourth proportional to 1,841.34, 2,541.10 and 1,002.08 is: 1,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.34 : 2,541.10 = 1,002.08 : x
  2. Step 2: Convert to fraction form
    1,841.34/2,541.10 = 1,002.08/x
  3. Step 3: Cross multiply
    1,841.34x = 2,541.10 × 1,002.08
  4. Step 4: Simplify right side
    1,841.34x = 2,546,385.49
  5. Step 5: Solve for x
    x = 2,546,385.49/1,841.34
  6. Step 6: Final answer
    x = 1,382.90

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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.