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Finding the Fourth Proportional to 2,799.02, 4,199.00 and 1,154.66

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Solution

The fourth proportional to 2,799.02, 4,199.00 and 1,154.66 is: 1,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.02 : 4,199.00 = 1,154.66 : x
  2. Step 2: Convert to fraction form
    2,799.02/4,199.00 = 1,154.66/x
  3. Step 3: Cross multiply
    2,799.02x = 4,199.00 × 1,154.66
  4. Step 4: Simplify right side
    2,799.02x = 4,848,430.72
  5. Step 5: Solve for x
    x = 4,848,430.72/2,799.02
  6. Step 6: Final answer
    x = 1,732.19

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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.