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Finding the Fourth Proportional to 1,457.69, 2,011.30 and 868.41

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Solution

The fourth proportional to 1,457.69, 2,011.30 and 868.41 is: 1,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.69 : 2,011.30 = 868.41 : x
  2. Step 2: Convert to fraction form
    1,457.69/2,011.30 = 868.41/x
  3. Step 3: Cross multiply
    1,457.69x = 2,011.30 × 868.41
  4. Step 4: Simplify right side
    1,457.69x = 1,746,630.86
  5. Step 5: Solve for x
    x = 1,746,630.86/1,457.69
  6. Step 6: Final answer
    x = 1,198.22

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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.