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Finding the Fourth Proportional to 1,569.92, 2,166.09 and 906.76

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Solution

The fourth proportional to 1,569.92, 2,166.09 and 906.76 is: 1,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.92 : 2,166.09 = 906.76 : x
  2. Step 2: Convert to fraction form
    1,569.92/2,166.09 = 906.76/x
  3. Step 3: Cross multiply
    1,569.92x = 2,166.09 × 906.76
  4. Step 4: Simplify right side
    1,569.92x = 1,964,128.18
  5. Step 5: Solve for x
    x = 1,964,128.18/1,569.92
  6. Step 6: Final answer
    x = 1,251.10

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Half scale
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1.5x scale

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.