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Finding the Fourth Proportional to 3,374.65, 4,658.07 and 2,117.80

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Solution

The fourth proportional to 3,374.65, 4,658.07 and 2,117.80 is: 2,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.65 : 4,658.07 = 2,117.80 : x
  2. Step 2: Convert to fraction form
    3,374.65/4,658.07 = 2,117.80/x
  3. Step 3: Cross multiply
    3,374.65x = 4,658.07 × 2,117.80
  4. Step 4: Simplify right side
    3,374.65x = 9,864,860.65
  5. Step 5: Solve for x
    x = 9,864,860.65/3,374.65
  6. Step 6: Final answer
    x = 2,923.22

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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.