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Finding the Fourth Proportional to 1,590.16, 2,194.42 and 969.16

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Solution

The fourth proportional to 1,590.16, 2,194.42 and 969.16 is: 1,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.16 : 2,194.42 = 969.16 : x
  2. Step 2: Convert to fraction form
    1,590.16/2,194.42 = 969.16/x
  3. Step 3: Cross multiply
    1,590.16x = 2,194.42 × 969.16
  4. Step 4: Simplify right side
    1,590.16x = 2,126,728.27
  5. Step 5: Solve for x
    x = 2,126,728.27/1,590.16
  6. Step 6: Final answer
    x = 1,337.43

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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.