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Finding the Fourth Proportional to 3,102.40, 4,655.02 and 1,347.94

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Solution

The fourth proportional to 3,102.40, 4,655.02 and 1,347.94 is: 2,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.40 : 4,655.02 = 1,347.94 : x
  2. Step 2: Convert to fraction form
    3,102.40/4,655.02 = 1,347.94/x
  3. Step 3: Cross multiply
    3,102.40x = 4,655.02 × 1,347.94
  4. Step 4: Simplify right side
    3,102.40x = 6,274,687.66
  5. Step 5: Solve for x
    x = 6,274,687.66/3,102.40
  6. Step 6: Final answer
    x = 2,022.53

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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.