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Finding the Fourth Proportional to 2,664.64, 3,998.76 and 933.28

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Solution

The fourth proportional to 2,664.64, 3,998.76 and 933.28 is: 1,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.64 : 3,998.76 = 933.28 : x
  2. Step 2: Convert to fraction form
    2,664.64/3,998.76 = 933.28/x
  3. Step 3: Cross multiply
    2,664.64x = 3,998.76 × 933.28
  4. Step 4: Simplify right side
    2,664.64x = 3,731,962.73
  5. Step 5: Solve for x
    x = 3,731,962.73/2,664.64
  6. Step 6: Final answer
    x = 1,400.55

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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.