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Finding the Fourth Proportional to 1,590.72, 2,194.56 and 968.64

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Solution

The fourth proportional to 1,590.72, 2,194.56 and 968.64 is: 1,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.72 : 2,194.56 = 968.64 : x
  2. Step 2: Convert to fraction form
    1,590.72/2,194.56 = 968.64/x
  3. Step 3: Cross multiply
    1,590.72x = 2,194.56 × 968.64
  4. Step 4: Simplify right side
    1,590.72x = 2,125,738.60
  5. Step 5: Solve for x
    x = 2,125,738.60/1,590.72
  6. Step 6: Final answer
    x = 1,336.34

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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.