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Finding the Fourth Proportional to 2,189.78, 3,281.02 and 1,539.35

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Solution

The fourth proportional to 2,189.78, 3,281.02 and 1,539.35 is: 2,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.78 : 3,281.02 = 1,539.35 : x
  2. Step 2: Convert to fraction form
    2,189.78/3,281.02 = 1,539.35/x
  3. Step 3: Cross multiply
    2,189.78x = 3,281.02 × 1,539.35
  4. Step 4: Simplify right side
    2,189.78x = 5,050,638.14
  5. Step 5: Solve for x
    x = 5,050,638.14/2,189.78
  6. Step 6: Final answer
    x = 2,306.46

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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.