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Finding the Fourth Proportional to 1,617.98, 2,428.41 and 752.78

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Solution

The fourth proportional to 1,617.98, 2,428.41 and 752.78 is: 1,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.98 : 2,428.41 = 752.78 : x
  2. Step 2: Convert to fraction form
    1,617.98/2,428.41 = 752.78/x
  3. Step 3: Cross multiply
    1,617.98x = 2,428.41 × 752.78
  4. Step 4: Simplify right side
    1,617.98x = 1,828,058.48
  5. Step 5: Solve for x
    x = 1,828,058.48/1,617.98
  6. Step 6: Final answer
    x = 1,129.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.