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Finding the Fourth Proportional to 2,475.16, 3,712.76 and 1,069.44

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Solution

The fourth proportional to 2,475.16, 3,712.76 and 1,069.44 is: 1,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.16 : 3,712.76 = 1,069.44 : x
  2. Step 2: Convert to fraction form
    2,475.16/3,712.76 = 1,069.44/x
  3. Step 3: Cross multiply
    2,475.16x = 3,712.76 × 1,069.44
  4. Step 4: Simplify right side
    2,475.16x = 3,970,574.05
  5. Step 5: Solve for x
    x = 3,970,574.05/2,475.16
  6. Step 6: Final answer
    x = 1,604.17

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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.