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Finding the Fourth Proportional to 2,385.84, 3,282.80 and 2,328.24

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Solution

The fourth proportional to 2,385.84, 3,282.80 and 2,328.24 is: 3,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.84 : 3,282.80 = 2,328.24 : x
  2. Step 2: Convert to fraction form
    2,385.84/3,282.80 = 2,328.24/x
  3. Step 3: Cross multiply
    2,385.84x = 3,282.80 × 2,328.24
  4. Step 4: Simplify right side
    2,385.84x = 7,643,146.27
  5. Step 5: Solve for x
    x = 7,643,146.27/2,385.84
  6. Step 6: Final answer
    x = 3,203.55

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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.