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Finding the Fourth Proportional to 1,457.69, 2,011.82 and 868.23

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Solution

The fourth proportional to 1,457.69, 2,011.82 and 868.23 is: 1,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.69 : 2,011.82 = 868.23 : x
  2. Step 2: Convert to fraction form
    1,457.69/2,011.82 = 868.23/x
  3. Step 3: Cross multiply
    1,457.69x = 2,011.82 × 868.23
  4. Step 4: Simplify right side
    1,457.69x = 1,746,718.14
  5. Step 5: Solve for x
    x = 1,746,718.14/1,457.69
  6. Step 6: Final answer
    x = 1,198.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.