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Finding the Fourth Proportional to 2,449.66, 3,674.71 and 718.30

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Solution

The fourth proportional to 2,449.66, 3,674.71 and 718.30 is: 1,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.66 : 3,674.71 = 718.30 : x
  2. Step 2: Convert to fraction form
    2,449.66/3,674.71 = 718.30/x
  3. Step 3: Cross multiply
    2,449.66x = 3,674.71 × 718.30
  4. Step 4: Simplify right side
    2,449.66x = 2,639,544.19
  5. Step 5: Solve for x
    x = 2,639,544.19/2,449.66
  6. Step 6: Final answer
    x = 1,077.51

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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.