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Finding the Fourth Proportional to 2,296.35, 3,444.53 and 997.52

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Solution

The fourth proportional to 2,296.35, 3,444.53 and 997.52 is: 1,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.35 : 3,444.53 = 997.52 : x
  2. Step 2: Convert to fraction form
    2,296.35/3,444.53 = 997.52/x
  3. Step 3: Cross multiply
    2,296.35x = 3,444.53 × 997.52
  4. Step 4: Simplify right side
    2,296.35x = 3,435,965.36
  5. Step 5: Solve for x
    x = 3,435,965.36/2,296.35
  6. Step 6: Final answer
    x = 1,496.27

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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.