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Finding the Fourth Proportional to 2,824.84, 4,239.24 and 1,902.16

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Solution

The fourth proportional to 2,824.84, 4,239.24 and 1,902.16 is: 2,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.84 : 4,239.24 = 1,902.16 : x
  2. Step 2: Convert to fraction form
    2,824.84/4,239.24 = 1,902.16/x
  3. Step 3: Cross multiply
    2,824.84x = 4,239.24 × 1,902.16
  4. Step 4: Simplify right side
    2,824.84x = 8,063,712.76
  5. Step 5: Solve for x
    x = 8,063,712.76/2,824.84
  6. Step 6: Final answer
    x = 2,854.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.