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Finding the Fourth Proportional to 1,616, 2,424.78 and 749.84

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Solution

The fourth proportional to 1,616, 2,424.78 and 749.84 is: 1,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616 : 2,424.78 = 749.84 : x
  2. Step 2: Convert to fraction form
    1,616/2,424.78 = 749.84/x
  3. Step 3: Cross multiply
    1,616x = 2,424.78 × 749.84
  4. Step 4: Simplify right side
    1,616x = 1,818,197.04
  5. Step 5: Solve for x
    x = 1,818,197.04/1,616
  6. Step 6: Final answer
    x = 1,125.12

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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.