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Finding the Fourth Proportional to 1,841.55, 2,541.38 and 1,002.31

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Solution

The fourth proportional to 1,841.55, 2,541.38 and 1,002.31 is: 1,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.55 : 2,541.38 = 1,002.31 : x
  2. Step 2: Convert to fraction form
    1,841.55/2,541.38 = 1,002.31/x
  3. Step 3: Cross multiply
    1,841.55x = 2,541.38 × 1,002.31
  4. Step 4: Simplify right side
    1,841.55x = 2,547,250.59
  5. Step 5: Solve for x
    x = 2,547,250.59/1,841.55
  6. Step 6: Final answer
    x = 1,383.21

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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.