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Finding the Fourth Proportional to 1,525.97, 2,106.11 and 863.03

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Solution

The fourth proportional to 1,525.97, 2,106.11 and 863.03 is: 1,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.97 : 2,106.11 = 863.03 : x
  2. Step 2: Convert to fraction form
    1,525.97/2,106.11 = 863.03/x
  3. Step 3: Cross multiply
    1,525.97x = 2,106.11 × 863.03
  4. Step 4: Simplify right side
    1,525.97x = 1,817,636.11
  5. Step 5: Solve for x
    x = 1,817,636.11/1,525.97
  6. Step 6: Final answer
    x = 1,191.13

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Why These Related Problems?

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