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Finding the Fourth Proportional to 2,666.16, 3,997.44 and 933.84

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Solution

The fourth proportional to 2,666.16, 3,997.44 and 933.84 is: 1,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.16 : 3,997.44 = 933.84 : x
  2. Step 2: Convert to fraction form
    2,666.16/3,997.44 = 933.84/x
  3. Step 3: Cross multiply
    2,666.16x = 3,997.44 × 933.84
  4. Step 4: Simplify right side
    2,666.16x = 3,732,969.37
  5. Step 5: Solve for x
    x = 3,732,969.37/2,666.16
  6. Step 6: Final answer
    x = 1,400.13

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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.