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Finding the Fourth Proportional to 2,657.84, 3,987.47 and 2,367.33

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Solution

The fourth proportional to 2,657.84, 3,987.47 and 2,367.33 is: 3,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.84 : 3,987.47 = 2,367.33 : x
  2. Step 2: Convert to fraction form
    2,657.84/3,987.47 = 2,367.33/x
  3. Step 3: Cross multiply
    2,657.84x = 3,987.47 × 2,367.33
  4. Step 4: Simplify right side
    2,657.84x = 9,439,654.40
  5. Step 5: Solve for x
    x = 9,439,654.40/2,657.84
  6. Step 6: Final answer
    x = 3,551.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.