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Finding the Fourth Proportional to 1,457.51, 2,186.51 and 727.11

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Solution

The fourth proportional to 1,457.51, 2,186.51 and 727.11 is: 1,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.51 : 2,186.51 = 727.11 : x
  2. Step 2: Convert to fraction form
    1,457.51/2,186.51 = 727.11/x
  3. Step 3: Cross multiply
    1,457.51x = 2,186.51 × 727.11
  4. Step 4: Simplify right side
    1,457.51x = 1,589,829.65
  5. Step 5: Solve for x
    x = 1,589,829.65/1,457.51
  6. Step 6: Final answer
    x = 1,090.78

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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.