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Finding the Fourth Proportional to 1,569.54, 2,166 and 906.42

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Solution

The fourth proportional to 1,569.54, 2,166 and 906.42 is: 1,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.54 : 2,166 = 906.42 : x
  2. Step 2: Convert to fraction form
    1,569.54/2,166 = 906.42/x
  3. Step 3: Cross multiply
    1,569.54x = 2,166 × 906.42
  4. Step 4: Simplify right side
    1,569.54x = 1,963,305.72
  5. Step 5: Solve for x
    x = 1,963,305.72/1,569.54
  6. Step 6: Final answer
    x = 1,250.88

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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.