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Finding the Fourth Proportional to 2,529.71, 3,795.07 and 885.81

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Solution

The fourth proportional to 2,529.71, 3,795.07 and 885.81 is: 1,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.71 : 3,795.07 = 885.81 : x
  2. Step 2: Convert to fraction form
    2,529.71/3,795.07 = 885.81/x
  3. Step 3: Cross multiply
    2,529.71x = 3,795.07 × 885.81
  4. Step 4: Simplify right side
    2,529.71x = 3,361,710.96
  5. Step 5: Solve for x
    x = 3,361,710.96/2,529.71
  6. Step 6: Final answer
    x = 1,328.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.