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Finding the Fourth Proportional to 3,142.80, 4,330.80 and 2,301.84

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Solution

The fourth proportional to 3,142.80, 4,330.80 and 2,301.84 is: 3,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.80 : 4,330.80 = 2,301.84 : x
  2. Step 2: Convert to fraction form
    3,142.80/4,330.80 = 2,301.84/x
  3. Step 3: Cross multiply
    3,142.80x = 4,330.80 × 2,301.84
  4. Step 4: Simplify right side
    3,142.80x = 9,968,808.67
  5. Step 5: Solve for x
    x = 9,968,808.67/3,142.80
  6. Step 6: Final answer
    x = 3,171.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.