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Finding the Fourth Proportional to 2,089.22, 2,877 and 1,868.10

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Solution

The fourth proportional to 2,089.22, 2,877 and 1,868.10 is: 2,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.22 : 2,877 = 1,868.10 : x
  2. Step 2: Convert to fraction form
    2,089.22/2,877 = 1,868.10/x
  3. Step 3: Cross multiply
    2,089.22x = 2,877 × 1,868.10
  4. Step 4: Simplify right side
    2,089.22x = 5,374,523.70
  5. Step 5: Solve for x
    x = 5,374,523.70/2,089.22
  6. Step 6: Final answer
    x = 2,572.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.