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Finding the Fourth Proportional to 1,647.89, 2,470.45 and 674.68

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Solution

The fourth proportional to 1,647.89, 2,470.45 and 674.68 is: 1,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.89 : 2,470.45 = 674.68 : x
  2. Step 2: Convert to fraction form
    1,647.89/2,470.45 = 674.68/x
  3. Step 3: Cross multiply
    1,647.89x = 2,470.45 × 674.68
  4. Step 4: Simplify right side
    1,647.89x = 1,666,761.24
  5. Step 5: Solve for x
    x = 1,666,761.24/1,647.89
  6. Step 6: Final answer
    x = 1,011.45

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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.