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Finding the Fourth Proportional to 2,293.58, 3,433.67 and 2,074.71

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Solution

The fourth proportional to 2,293.58, 3,433.67 and 2,074.71 is: 3,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.58 : 3,433.67 = 2,074.71 : x
  2. Step 2: Convert to fraction form
    2,293.58/3,433.67 = 2,074.71/x
  3. Step 3: Cross multiply
    2,293.58x = 3,433.67 × 2,074.71
  4. Step 4: Simplify right side
    2,293.58x = 7,123,859.11
  5. Step 5: Solve for x
    x = 7,123,859.11/2,293.58
  6. Step 6: Final answer
    x = 3,106.01

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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.