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Finding the Fourth Proportional to 2,046.74, 2,824.08 and 1,543.19

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Solution

The fourth proportional to 2,046.74, 2,824.08 and 1,543.19 is: 2,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.74 : 2,824.08 = 1,543.19 : x
  2. Step 2: Convert to fraction form
    2,046.74/2,824.08 = 1,543.19/x
  3. Step 3: Cross multiply
    2,046.74x = 2,824.08 × 1,543.19
  4. Step 4: Simplify right side
    2,046.74x = 4,358,092.02
  5. Step 5: Solve for x
    x = 4,358,092.02/2,046.74
  6. Step 6: Final answer
    x = 2,129.28

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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.