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Finding the Fourth Proportional to 2,454.65, 3,680.74 and 810.66

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Solution

The fourth proportional to 2,454.65, 3,680.74 and 810.66 is: 1,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.65 : 3,680.74 = 810.66 : x
  2. Step 2: Convert to fraction form
    2,454.65/3,680.74 = 810.66/x
  3. Step 3: Cross multiply
    2,454.65x = 3,680.74 × 810.66
  4. Step 4: Simplify right side
    2,454.65x = 2,983,822.80
  5. Step 5: Solve for x
    x = 2,983,822.80/2,454.65
  6. Step 6: Final answer
    x = 1,215.58

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1.5x scale

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.