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Finding the Fourth Proportional to 1,819.84, 2,731.38 and 954.76

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Solution

The fourth proportional to 1,819.84, 2,731.38 and 954.76 is: 1,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.84 : 2,731.38 = 954.76 : x
  2. Step 2: Convert to fraction form
    1,819.84/2,731.38 = 954.76/x
  3. Step 3: Cross multiply
    1,819.84x = 2,731.38 × 954.76
  4. Step 4: Simplify right side
    1,819.84x = 2,607,812.37
  5. Step 5: Solve for x
    x = 2,607,812.37/1,819.84
  6. Step 6: Final answer
    x = 1,432.99

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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.