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Finding the Fourth Proportional to 2,872.79, 4,291.71 and 1,824.38

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Solution

The fourth proportional to 2,872.79, 4,291.71 and 1,824.38 is: 2,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.79 : 4,291.71 = 1,824.38 : x
  2. Step 2: Convert to fraction form
    2,872.79/4,291.71 = 1,824.38/x
  3. Step 3: Cross multiply
    2,872.79x = 4,291.71 × 1,824.38
  4. Step 4: Simplify right side
    2,872.79x = 7,829,709.89
  5. Step 5: Solve for x
    x = 7,829,709.89/2,872.79
  6. Step 6: Final answer
    x = 2,725.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.