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Finding the Fourth Proportional to 1,458.19, 2,011.87 and 868.51

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Solution

The fourth proportional to 1,458.19, 2,011.87 and 868.51 is: 1,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.19 : 2,011.87 = 868.51 : x
  2. Step 2: Convert to fraction form
    1,458.19/2,011.87 = 868.51/x
  3. Step 3: Cross multiply
    1,458.19x = 2,011.87 × 868.51
  4. Step 4: Simplify right side
    1,458.19x = 1,747,329.21
  5. Step 5: Solve for x
    x = 1,747,329.21/1,458.19
  6. Step 6: Final answer
    x = 1,198.29

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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.