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Finding the Fourth Proportional to 1,569.14, 2,165.62 and 897.12

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Solution

The fourth proportional to 1,569.14, 2,165.62 and 897.12 is: 1,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.14 : 2,165.62 = 897.12 : x
  2. Step 2: Convert to fraction form
    1,569.14/2,165.62 = 897.12/x
  3. Step 3: Cross multiply
    1,569.14x = 2,165.62 × 897.12
  4. Step 4: Simplify right side
    1,569.14x = 1,942,821.01
  5. Step 5: Solve for x
    x = 1,942,821.01/1,569.14
  6. Step 6: Final answer
    x = 1,238.14

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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.