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Finding the Fourth Proportional to 2,457.44, 3,686.37 and 726.14

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Solution

The fourth proportional to 2,457.44, 3,686.37 and 726.14 is: 1,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.44 : 3,686.37 = 726.14 : x
  2. Step 2: Convert to fraction form
    2,457.44/3,686.37 = 726.14/x
  3. Step 3: Cross multiply
    2,457.44x = 3,686.37 × 726.14
  4. Step 4: Simplify right side
    2,457.44x = 2,676,820.71
  5. Step 5: Solve for x
    x = 2,676,820.71/2,457.44
  6. Step 6: Final answer
    x = 1,089.27

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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.