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Finding the Fourth Proportional to 1,842.61, 2,543.13 and 1,097

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Solution

The fourth proportional to 1,842.61, 2,543.13 and 1,097 is: 1,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.61 : 2,543.13 = 1,097 : x
  2. Step 2: Convert to fraction form
    1,842.61/2,543.13 = 1,097/x
  3. Step 3: Cross multiply
    1,842.61x = 2,543.13 × 1,097
  4. Step 4: Simplify right side
    1,842.61x = 2,789,813.61
  5. Step 5: Solve for x
    x = 2,789,813.61/1,842.61
  6. Step 6: Final answer
    x = 1,514.06

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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.