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Finding the Fourth Proportional to 3,102.26, 4,655.10 and 1,370.84

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Solution

The fourth proportional to 3,102.26, 4,655.10 and 1,370.84 is: 2,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.26 : 4,655.10 = 1,370.84 : x
  2. Step 2: Convert to fraction form
    3,102.26/4,655.10 = 1,370.84/x
  3. Step 3: Cross multiply
    3,102.26x = 4,655.10 × 1,370.84
  4. Step 4: Simplify right side
    3,102.26x = 6,381,397.28
  5. Step 5: Solve for x
    x = 6,381,397.28/3,102.26
  6. Step 6: Final answer
    x = 2,057.02

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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.