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Finding the Fourth Proportional to 2,124.07, 2,932 and 1,824.11

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Solution

The fourth proportional to 2,124.07, 2,932 and 1,824.11 is: 2,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.07 : 2,932 = 1,824.11 : x
  2. Step 2: Convert to fraction form
    2,124.07/2,932 = 1,824.11/x
  3. Step 3: Cross multiply
    2,124.07x = 2,932 × 1,824.11
  4. Step 4: Simplify right side
    2,124.07x = 5,348,290.52
  5. Step 5: Solve for x
    x = 5,348,290.52/2,124.07
  6. Step 6: Final answer
    x = 2,517.94

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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.