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Finding the Fourth Proportional to 1,674.97, 2,510.61 and 1,262.79

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Solution

The fourth proportional to 1,674.97, 2,510.61 and 1,262.79 is: 1,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.97 : 2,510.61 = 1,262.79 : x
  2. Step 2: Convert to fraction form
    1,674.97/2,510.61 = 1,262.79/x
  3. Step 3: Cross multiply
    1,674.97x = 2,510.61 × 1,262.79
  4. Step 4: Simplify right side
    1,674.97x = 3,170,373.20
  5. Step 5: Solve for x
    x = 3,170,373.20/1,674.97
  6. Step 6: Final answer
    x = 1,892.79

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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.