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Finding the Fourth Proportional to 1,569.72, 2,166.21 and 906.56

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Solution

The fourth proportional to 1,569.72, 2,166.21 and 906.56 is: 1,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.72 : 2,166.21 = 906.56 : x
  2. Step 2: Convert to fraction form
    1,569.72/2,166.21 = 906.56/x
  3. Step 3: Cross multiply
    1,569.72x = 2,166.21 × 906.56
  4. Step 4: Simplify right side
    1,569.72x = 1,963,788.51
  5. Step 5: Solve for x
    x = 1,963,788.51/1,569.72
  6. Step 6: Final answer
    x = 1,251.04

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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.