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Finding the Fourth Proportional to 2,454.68, 3,682.47 and 811.69

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Solution

The fourth proportional to 2,454.68, 3,682.47 and 811.69 is: 1,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.68 : 3,682.47 = 811.69 : x
  2. Step 2: Convert to fraction form
    2,454.68/3,682.47 = 811.69/x
  3. Step 3: Cross multiply
    2,454.68x = 3,682.47 × 811.69
  4. Step 4: Simplify right side
    2,454.68x = 2,989,024.07
  5. Step 5: Solve for x
    x = 2,989,024.07/2,454.68
  6. Step 6: Final answer
    x = 1,217.68

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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.