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Finding the Fourth Proportional to 1,842.75, 2,543.00 and 1,144.13

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Solution

The fourth proportional to 1,842.75, 2,543.00 and 1,144.13 is: 1,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.75 : 2,543.00 = 1,144.13 : x
  2. Step 2: Convert to fraction form
    1,842.75/2,543.00 = 1,144.13/x
  3. Step 3: Cross multiply
    1,842.75x = 2,543.00 × 1,144.13
  4. Step 4: Simplify right side
    1,842.75x = 2,909,504.15
  5. Step 5: Solve for x
    x = 2,909,504.15/1,842.75
  6. Step 6: Final answer
    x = 1,578.89

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Double scale
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1.5x scale

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.