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Finding the Fourth Proportional to 1,710.24, 2,371.02 and 1,650.18

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Solution

The fourth proportional to 1,710.24, 2,371.02 and 1,650.18 is: 2,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.24 : 2,371.02 = 1,650.18 : x
  2. Step 2: Convert to fraction form
    1,710.24/2,371.02 = 1,650.18/x
  3. Step 3: Cross multiply
    1,710.24x = 2,371.02 × 1,650.18
  4. Step 4: Simplify right side
    1,710.24x = 3,912,609.78
  5. Step 5: Solve for x
    x = 3,912,609.78/1,710.24
  6. Step 6: Final answer
    x = 2,287.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.