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Finding the Fourth Proportional to 1,610.84, 2,406.01 and 1,456.52

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Solution

The fourth proportional to 1,610.84, 2,406.01 and 1,456.52 is: 2,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.84 : 2,406.01 = 1,456.52 : x
  2. Step 2: Convert to fraction form
    1,610.84/2,406.01 = 1,456.52/x
  3. Step 3: Cross multiply
    1,610.84x = 2,406.01 × 1,456.52
  4. Step 4: Simplify right side
    1,610.84x = 3,504,401.69
  5. Step 5: Solve for x
    x = 3,504,401.69/1,610.84
  6. Step 6: Final answer
    x = 2,175.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.