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Finding the Fourth Proportional to 2,290.76, 3,429.46 and 2,071.90

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Solution

The fourth proportional to 2,290.76, 3,429.46 and 2,071.90 is: 3,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.76 : 3,429.46 = 2,071.90 : x
  2. Step 2: Convert to fraction form
    2,290.76/3,429.46 = 2,071.90/x
  3. Step 3: Cross multiply
    2,290.76x = 3,429.46 × 2,071.90
  4. Step 4: Simplify right side
    2,290.76x = 7,105,474.11
  5. Step 5: Solve for x
    x = 7,105,474.11/2,290.76
  6. Step 6: Final answer
    x = 3,101.79

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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.