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Finding the Fourth Proportional to 2,457.56, 3,686.27 and 726.18

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Solution

The fourth proportional to 2,457.56, 3,686.27 and 726.18 is: 1,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.56 : 3,686.27 = 726.18 : x
  2. Step 2: Convert to fraction form
    2,457.56/3,686.27 = 726.18/x
  3. Step 3: Cross multiply
    2,457.56x = 3,686.27 × 726.18
  4. Step 4: Simplify right side
    2,457.56x = 2,676,891.92
  5. Step 5: Solve for x
    x = 2,676,891.92/2,457.56
  6. Step 6: Final answer
    x = 1,089.25

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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.