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Finding the Fourth Proportional to 2,375.12, 3,274.47 and 1,666.01

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Solution

The fourth proportional to 2,375.12, 3,274.47 and 1,666.01 is: 2,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.12 : 3,274.47 = 1,666.01 : x
  2. Step 2: Convert to fraction form
    2,375.12/3,274.47 = 1,666.01/x
  3. Step 3: Cross multiply
    2,375.12x = 3,274.47 × 1,666.01
  4. Step 4: Simplify right side
    2,375.12x = 5,455,299.76
  5. Step 5: Solve for x
    x = 5,455,299.76/2,375.12
  6. Step 6: Final answer
    x = 2,296.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.