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Finding the Fourth Proportional to 2,337.35, 3,489.75 and 2,104.07

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Solution

The fourth proportional to 2,337.35, 3,489.75 and 2,104.07 is: 3,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.35 : 3,489.75 = 2,104.07 : x
  2. Step 2: Convert to fraction form
    2,337.35/3,489.75 = 2,104.07/x
  3. Step 3: Cross multiply
    2,337.35x = 3,489.75 × 2,104.07
  4. Step 4: Simplify right side
    2,337.35x = 7,342,660.83
  5. Step 5: Solve for x
    x = 7,342,660.83/2,337.35
  6. Step 6: Final answer
    x = 3,141.45

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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.