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Finding the Fourth Proportional to 2,347, 3,520.55 and 886.84

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Solution

The fourth proportional to 2,347, 3,520.55 and 886.84 is: 1,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347 : 3,520.55 = 886.84 : x
  2. Step 2: Convert to fraction form
    2,347/3,520.55 = 886.84/x
  3. Step 3: Cross multiply
    2,347x = 3,520.55 × 886.84
  4. Step 4: Simplify right side
    2,347x = 3,122,164.56
  5. Step 5: Solve for x
    x = 3,122,164.56/2,347
  6. Step 6: Final answer
    x = 1,330.28

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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.