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Finding the Fourth Proportional to 2,454.67, 3,681.21 and 810.76

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Solution

The fourth proportional to 2,454.67, 3,681.21 and 810.76 is: 1,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.67 : 3,681.21 = 810.76 : x
  2. Step 2: Convert to fraction form
    2,454.67/3,681.21 = 810.76/x
  3. Step 3: Cross multiply
    2,454.67x = 3,681.21 × 810.76
  4. Step 4: Simplify right side
    2,454.67x = 2,984,577.82
  5. Step 5: Solve for x
    x = 2,984,577.82/2,454.67
  6. Step 6: Final answer
    x = 1,215.88

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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.