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Finding the Fourth Proportional to 1,686.27, 2,540.01 and 1,533.18

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Solution

The fourth proportional to 1,686.27, 2,540.01 and 1,533.18 is: 2,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.27 : 2,540.01 = 1,533.18 : x
  2. Step 2: Convert to fraction form
    1,686.27/2,540.01 = 1,533.18/x
  3. Step 3: Cross multiply
    1,686.27x = 2,540.01 × 1,533.18
  4. Step 4: Simplify right side
    1,686.27x = 3,894,292.53
  5. Step 5: Solve for x
    x = 3,894,292.53/1,686.27
  6. Step 6: Final answer
    x = 2,309.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.