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Finding the Fourth Proportional to 3,374.65, 4,659.19 and 2,117.43

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Solution

The fourth proportional to 3,374.65, 4,659.19 and 2,117.43 is: 2,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.65 : 4,659.19 = 2,117.43 : x
  2. Step 2: Convert to fraction form
    3,374.65/4,659.19 = 2,117.43/x
  3. Step 3: Cross multiply
    3,374.65x = 4,659.19 × 2,117.43
  4. Step 4: Simplify right side
    3,374.65x = 9,865,498.09
  5. Step 5: Solve for x
    x = 9,865,498.09/3,374.65
  6. Step 6: Final answer
    x = 2,923.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.