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Finding the Fourth Proportional to 1,558.64, 2,152.44 and 969.44

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Solution

The fourth proportional to 1,558.64, 2,152.44 and 969.44 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.64 : 2,152.44 = 969.44 : x
  2. Step 2: Convert to fraction form
    1,558.64/2,152.44 = 969.44/x
  3. Step 3: Cross multiply
    1,558.64x = 2,152.44 × 969.44
  4. Step 4: Simplify right side
    1,558.64x = 2,086,661.43
  5. Step 5: Solve for x
    x = 2,086,661.43/1,558.64
  6. Step 6: Final answer
    x = 1,338.77

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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.