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Finding the Fourth Proportional to 1,569.78, 2,166.22 and 940.64

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Solution

The fourth proportional to 1,569.78, 2,166.22 and 940.64 is: 1,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.78 : 2,166.22 = 940.64 : x
  2. Step 2: Convert to fraction form
    1,569.78/2,166.22 = 940.64/x
  3. Step 3: Cross multiply
    1,569.78x = 2,166.22 × 940.64
  4. Step 4: Simplify right side
    1,569.78x = 2,037,633.18
  5. Step 5: Solve for x
    x = 2,037,633.18/1,569.78
  6. Step 6: Final answer
    x = 1,298.04

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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.