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Finding the Fourth Proportional to 2,666.72, 4,000.69 and 1,023.23

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Solution

The fourth proportional to 2,666.72, 4,000.69 and 1,023.23 is: 1,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.72 : 4,000.69 = 1,023.23 : x
  2. Step 2: Convert to fraction form
    2,666.72/4,000.69 = 1,023.23/x
  3. Step 3: Cross multiply
    2,666.72x = 4,000.69 × 1,023.23
  4. Step 4: Simplify right side
    2,666.72x = 4,093,637.31
  5. Step 5: Solve for x
    x = 4,093,637.31/2,666.72
  6. Step 6: Final answer
    x = 1,535.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.