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Finding the Fourth Proportional to 1,560.82, 2,153.88 and 897.22

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Solution

The fourth proportional to 1,560.82, 2,153.88 and 897.22 is: 1,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.82 : 2,153.88 = 897.22 : x
  2. Step 2: Convert to fraction form
    1,560.82/2,153.88 = 897.22/x
  3. Step 3: Cross multiply
    1,560.82x = 2,153.88 × 897.22
  4. Step 4: Simplify right side
    1,560.82x = 1,932,504.21
  5. Step 5: Solve for x
    x = 1,932,504.21/1,560.82
  6. Step 6: Final answer
    x = 1,238.13

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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.