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Finding the Fourth Proportional to 2,454.95, 3,682.06 and 811.51

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Solution

The fourth proportional to 2,454.95, 3,682.06 and 811.51 is: 1,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.95 : 3,682.06 = 811.51 : x
  2. Step 2: Convert to fraction form
    2,454.95/3,682.06 = 811.51/x
  3. Step 3: Cross multiply
    2,454.95x = 3,682.06 × 811.51
  4. Step 4: Simplify right side
    2,454.95x = 2,988,017.28
  5. Step 5: Solve for x
    x = 2,988,017.28/2,454.95
  6. Step 6: Final answer
    x = 1,217.14

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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.