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Finding the Fourth Proportional to 2,785.16, 3,843.46 and 1,543.16

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Solution

The fourth proportional to 2,785.16, 3,843.46 and 1,543.16 is: 2,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.16 : 3,843.46 = 1,543.16 : x
  2. Step 2: Convert to fraction form
    2,785.16/3,843.46 = 1,543.16/x
  3. Step 3: Cross multiply
    2,785.16x = 3,843.46 × 1,543.16
  4. Step 4: Simplify right side
    2,785.16x = 5,931,050.66
  5. Step 5: Solve for x
    x = 5,931,050.66/2,785.16
  6. Step 6: Final answer
    x = 2,129.52

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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.