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Finding the Fourth Proportional to 2,084.88, 2,877.03 and 1,298.91

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Solution

The fourth proportional to 2,084.88, 2,877.03 and 1,298.91 is: 1,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.88 : 2,877.03 = 1,298.91 : x
  2. Step 2: Convert to fraction form
    2,084.88/2,877.03 = 1,298.91/x
  3. Step 3: Cross multiply
    2,084.88x = 2,877.03 × 1,298.91
  4. Step 4: Simplify right side
    2,084.88x = 3,737,003.04
  5. Step 5: Solve for x
    x = 3,737,003.04/2,084.88
  6. Step 6: Final answer
    x = 1,792.43

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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.