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Finding the Fourth Proportional to 1,828.32, 2,753.03 and 1,344.76

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Solution

The fourth proportional to 1,828.32, 2,753.03 and 1,344.76 is: 2,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.32 : 2,753.03 = 1,344.76 : x
  2. Step 2: Convert to fraction form
    1,828.32/2,753.03 = 1,344.76/x
  3. Step 3: Cross multiply
    1,828.32x = 2,753.03 × 1,344.76
  4. Step 4: Simplify right side
    1,828.32x = 3,702,164.62
  5. Step 5: Solve for x
    x = 3,702,164.62/1,828.32
  6. Step 6: Final answer
    x = 2,024.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.