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Finding the Fourth Proportional to 2,707.30, 4,057.16 and 1,520.28

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Solution

The fourth proportional to 2,707.30, 4,057.16 and 1,520.28 is: 2,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.30 : 4,057.16 = 1,520.28 : x
  2. Step 2: Convert to fraction form
    2,707.30/4,057.16 = 1,520.28/x
  3. Step 3: Cross multiply
    2,707.30x = 4,057.16 × 1,520.28
  4. Step 4: Simplify right side
    2,707.30x = 6,168,019.20
  5. Step 5: Solve for x
    x = 6,168,019.20/2,707.30
  6. Step 6: Final answer
    x = 2,278.29

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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.