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Finding the Fourth Proportional to 2,785.47, 3,843.95 and 1,543.47

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Solution

The fourth proportional to 2,785.47, 3,843.95 and 1,543.47 is: 2,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.47 : 3,843.95 = 1,543.47 : x
  2. Step 2: Convert to fraction form
    2,785.47/3,843.95 = 1,543.47/x
  3. Step 3: Cross multiply
    2,785.47x = 3,843.95 × 1,543.47
  4. Step 4: Simplify right side
    2,785.47x = 5,933,021.51
  5. Step 5: Solve for x
    x = 5,933,021.51/2,785.47
  6. Step 6: Final answer
    x = 2,129.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.