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Finding the Fourth Proportional to 1,674.83, 2,521.49 and 1,480.91

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Solution

The fourth proportional to 1,674.83, 2,521.49 and 1,480.91 is: 2,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.83 : 2,521.49 = 1,480.91 : x
  2. Step 2: Convert to fraction form
    1,674.83/2,521.49 = 1,480.91/x
  3. Step 3: Cross multiply
    1,674.83x = 2,521.49 × 1,480.91
  4. Step 4: Simplify right side
    1,674.83x = 3,734,079.74
  5. Step 5: Solve for x
    x = 3,734,079.74/1,674.83
  6. Step 6: Final answer
    x = 2,229.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.