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Finding the Fourth Proportional to 2,315.65, 3,474.29 and 672.30

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Solution

The fourth proportional to 2,315.65, 3,474.29 and 672.30 is: 1,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.65 : 3,474.29 = 672.30 : x
  2. Step 2: Convert to fraction form
    2,315.65/3,474.29 = 672.30/x
  3. Step 3: Cross multiply
    2,315.65x = 3,474.29 × 672.30
  4. Step 4: Simplify right side
    2,315.65x = 2,335,744.43
  5. Step 5: Solve for x
    x = 2,335,744.43/2,315.65
  6. Step 6: Final answer
    x = 1,008.68

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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.