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Finding the Fourth Proportional to 2,529.17, 3,793.77 and 885.71

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Solution

The fourth proportional to 2,529.17, 3,793.77 and 885.71 is: 1,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.17 : 3,793.77 = 885.71 : x
  2. Step 2: Convert to fraction form
    2,529.17/3,793.77 = 885.71/x
  3. Step 3: Cross multiply
    2,529.17x = 3,793.77 × 885.71
  4. Step 4: Simplify right side
    2,529.17x = 3,360,189.51
  5. Step 5: Solve for x
    x = 3,360,189.51/2,529.17
  6. Step 6: Final answer
    x = 1,328.58

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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.