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Finding the Fourth Proportional to 2,635.16, 3,952.73 and 903.80

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Solution

The fourth proportional to 2,635.16, 3,952.73 and 903.80 is: 1,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.16 : 3,952.73 = 903.80 : x
  2. Step 2: Convert to fraction form
    2,635.16/3,952.73 = 903.80/x
  3. Step 3: Cross multiply
    2,635.16x = 3,952.73 × 903.80
  4. Step 4: Simplify right side
    2,635.16x = 3,572,459.87
  5. Step 5: Solve for x
    x = 3,572,459.87/2,635.16
  6. Step 6: Final answer
    x = 1,355.69

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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.