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Finding the Fourth Proportional to 2,383.26, 3,574.89 and 997.26

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Solution

The fourth proportional to 2,383.26, 3,574.89 and 997.26 is: 1,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.26 : 3,574.89 = 997.26 : x
  2. Step 2: Convert to fraction form
    2,383.26/3,574.89 = 997.26/x
  3. Step 3: Cross multiply
    2,383.26x = 3,574.89 × 997.26
  4. Step 4: Simplify right side
    2,383.26x = 3,565,094.80
  5. Step 5: Solve for x
    x = 3,565,094.80/2,383.26
  6. Step 6: Final answer
    x = 1,495.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.