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Finding the Fourth Proportional to 2,291.79, 3,437.82 and 2,019.75

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Solution

The fourth proportional to 2,291.79, 3,437.82 and 2,019.75 is: 3,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.79 : 3,437.82 = 2,019.75 : x
  2. Step 2: Convert to fraction form
    2,291.79/3,437.82 = 2,019.75/x
  3. Step 3: Cross multiply
    2,291.79x = 3,437.82 × 2,019.75
  4. Step 4: Simplify right side
    2,291.79x = 6,943,536.95
  5. Step 5: Solve for x
    x = 6,943,536.95/2,291.79
  6. Step 6: Final answer
    x = 3,029.74

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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.