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Finding the Fourth Proportional to 2,339.85, 3,493.48 and 2,106.57

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Solution

The fourth proportional to 2,339.85, 3,493.48 and 2,106.57 is: 3,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.85 : 3,493.48 = 2,106.57 : x
  2. Step 2: Convert to fraction form
    2,339.85/3,493.48 = 2,106.57/x
  3. Step 3: Cross multiply
    2,339.85x = 3,493.48 × 2,106.57
  4. Step 4: Simplify right side
    2,339.85x = 7,359,232.16
  5. Step 5: Solve for x
    x = 7,359,232.16/2,339.85
  6. Step 6: Final answer
    x = 3,145.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.