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Finding the Fourth Proportional to 1,721.40, 2,582.28 and 1,143

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Solution

The fourth proportional to 1,721.40, 2,582.28 and 1,143 is: 1,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.40 : 2,582.28 = 1,143 : x
  2. Step 2: Convert to fraction form
    1,721.40/2,582.28 = 1,143/x
  3. Step 3: Cross multiply
    1,721.40x = 2,582.28 × 1,143
  4. Step 4: Simplify right side
    1,721.40x = 2,951,546.04
  5. Step 5: Solve for x
    x = 2,951,546.04/1,721.40
  6. Step 6: Final answer
    x = 1,714.62

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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.