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Finding the Fourth Proportional to 1,457.57, 2,186.66 and 806.94

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Solution

The fourth proportional to 1,457.57, 2,186.66 and 806.94 is: 1,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.57 : 2,186.66 = 806.94 : x
  2. Step 2: Convert to fraction form
    1,457.57/2,186.66 = 806.94/x
  3. Step 3: Cross multiply
    1,457.57x = 2,186.66 × 806.94
  4. Step 4: Simplify right side
    1,457.57x = 1,764,503.42
  5. Step 5: Solve for x
    x = 1,764,503.42/1,457.57
  6. Step 6: Final answer
    x = 1,210.58

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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.