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Finding the Fourth Proportional to 2,152.76, 3,227.39 and 2,030.54

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Solution

The fourth proportional to 2,152.76, 3,227.39 and 2,030.54 is: 3,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.76 : 3,227.39 = 2,030.54 : x
  2. Step 2: Convert to fraction form
    2,152.76/3,227.39 = 2,030.54/x
  3. Step 3: Cross multiply
    2,152.76x = 3,227.39 × 2,030.54
  4. Step 4: Simplify right side
    2,152.76x = 6,553,337.24
  5. Step 5: Solve for x
    x = 6,553,337.24/2,152.76
  6. Step 6: Final answer
    x = 3,044.16

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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.