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Finding the Fourth Proportional to 1,551.07, 2,323.86 and 819.03

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Solution

The fourth proportional to 1,551.07, 2,323.86 and 819.03 is: 1,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.07 : 2,323.86 = 819.03 : x
  2. Step 2: Convert to fraction form
    1,551.07/2,323.86 = 819.03/x
  3. Step 3: Cross multiply
    1,551.07x = 2,323.86 × 819.03
  4. Step 4: Simplify right side
    1,551.07x = 1,903,311.06
  5. Step 5: Solve for x
    x = 1,903,311.06/1,551.07
  6. Step 6: Final answer
    x = 1,227.10

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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.