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Finding the Fourth Proportional to 2,089.98, 2,881.35 and 1,734.62

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Solution

The fourth proportional to 2,089.98, 2,881.35 and 1,734.62 is: 2,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.98 : 2,881.35 = 1,734.62 : x
  2. Step 2: Convert to fraction form
    2,089.98/2,881.35 = 1,734.62/x
  3. Step 3: Cross multiply
    2,089.98x = 2,881.35 × 1,734.62
  4. Step 4: Simplify right side
    2,089.98x = 4,998,032.93
  5. Step 5: Solve for x
    x = 4,998,032.93/2,089.98
  6. Step 6: Final answer
    x = 2,391.43

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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.