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Finding the Fourth Proportional to 1,562.58, 2,156.36 and 863.96

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Solution

The fourth proportional to 1,562.58, 2,156.36 and 863.96 is: 1,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.58 : 2,156.36 = 863.96 : x
  2. Step 2: Convert to fraction form
    1,562.58/2,156.36 = 863.96/x
  3. Step 3: Cross multiply
    1,562.58x = 2,156.36 × 863.96
  4. Step 4: Simplify right side
    1,562.58x = 1,862,993.68
  5. Step 5: Solve for x
    x = 1,862,993.68/1,562.58
  6. Step 6: Final answer
    x = 1,192.25

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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.