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Finding the Fourth Proportional to 1,569.64, 2,166.30 and 906.49

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Solution

The fourth proportional to 1,569.64, 2,166.30 and 906.49 is: 1,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.64 : 2,166.30 = 906.49 : x
  2. Step 2: Convert to fraction form
    1,569.64/2,166.30 = 906.49/x
  3. Step 3: Cross multiply
    1,569.64x = 2,166.30 × 906.49
  4. Step 4: Simplify right side
    1,569.64x = 1,963,727.46
  5. Step 5: Solve for x
    x = 1,963,727.46/1,569.64
  6. Step 6: Final answer
    x = 1,251.07

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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.