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Finding the Fourth Proportional to 2,529.61, 3,794.41 and 886.63

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Solution

The fourth proportional to 2,529.61, 3,794.41 and 886.63 is: 1,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.61 : 3,794.41 = 886.63 : x
  2. Step 2: Convert to fraction form
    2,529.61/3,794.41 = 886.63/x
  3. Step 3: Cross multiply
    2,529.61x = 3,794.41 × 886.63
  4. Step 4: Simplify right side
    2,529.61x = 3,364,237.74
  5. Step 5: Solve for x
    x = 3,364,237.74/2,529.61
  6. Step 6: Final answer
    x = 1,329.94

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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.