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Finding the Fourth Proportional to 1,769.54, 2,440.86 and 1,264.46

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Solution

The fourth proportional to 1,769.54, 2,440.86 and 1,264.46 is: 1,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.54 : 2,440.86 = 1,264.46 : x
  2. Step 2: Convert to fraction form
    1,769.54/2,440.86 = 1,264.46/x
  3. Step 3: Cross multiply
    1,769.54x = 2,440.86 × 1,264.46
  4. Step 4: Simplify right side
    1,769.54x = 3,086,369.84
  5. Step 5: Solve for x
    x = 3,086,369.84/1,769.54
  6. Step 6: Final answer
    x = 1,744.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.