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Finding the Fourth Proportional to 2,148.52, 3,222.78 and 1,823.08

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Solution

The fourth proportional to 2,148.52, 3,222.78 and 1,823.08 is: 2,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.52 : 3,222.78 = 1,823.08 : x
  2. Step 2: Convert to fraction form
    2,148.52/3,222.78 = 1,823.08/x
  3. Step 3: Cross multiply
    2,148.52x = 3,222.78 × 1,823.08
  4. Step 4: Simplify right side
    2,148.52x = 5,875,385.76
  5. Step 5: Solve for x
    x = 5,875,385.76/2,148.52
  6. Step 6: Final answer
    x = 2,734.62

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