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Finding the Fourth Proportional to 1,457.86, 2,186.81 and 812.70

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Solution

The fourth proportional to 1,457.86, 2,186.81 and 812.70 is: 1,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.86 : 2,186.81 = 812.70 : x
  2. Step 2: Convert to fraction form
    1,457.86/2,186.81 = 812.70/x
  3. Step 3: Cross multiply
    1,457.86x = 2,186.81 × 812.70
  4. Step 4: Simplify right side
    1,457.86x = 1,777,209.55
  5. Step 5: Solve for x
    x = 1,777,209.55/1,457.86
  6. Step 6: Final answer
    x = 1,219.05

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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.