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Finding the Fourth Proportional to 1,822.88, 2,513.89 and 1,543.70

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Solution

The fourth proportional to 1,822.88, 2,513.89 and 1,543.70 is: 2,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.88 : 2,513.89 = 1,543.70 : x
  2. Step 2: Convert to fraction form
    1,822.88/2,513.89 = 1,543.70/x
  3. Step 3: Cross multiply
    1,822.88x = 2,513.89 × 1,543.70
  4. Step 4: Simplify right side
    1,822.88x = 3,880,691.99
  5. Step 5: Solve for x
    x = 3,880,691.99/1,822.88
  6. Step 6: Final answer
    x = 2,128.88

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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.