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Finding the Fourth Proportional to 2,666.03, 3,999.04 and 1,434.02

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Solution

The fourth proportional to 2,666.03, 3,999.04 and 1,434.02 is: 2,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.03 : 3,999.04 = 1,434.02 : x
  2. Step 2: Convert to fraction form
    2,666.03/3,999.04 = 1,434.02/x
  3. Step 3: Cross multiply
    2,666.03x = 3,999.04 × 1,434.02
  4. Step 4: Simplify right side
    2,666.03x = 5,734,679.76
  5. Step 5: Solve for x
    x = 5,734,679.76/2,666.03
  6. Step 6: Final answer
    x = 2,151.02

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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.