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Finding the Fourth Proportional to 2,666.83, 4,000.52 and 1,024.15

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Solution

The fourth proportional to 2,666.83, 4,000.52 and 1,024.15 is: 1,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.83 : 4,000.52 = 1,024.15 : x
  2. Step 2: Convert to fraction form
    2,666.83/4,000.52 = 1,024.15/x
  3. Step 3: Cross multiply
    2,666.83x = 4,000.52 × 1,024.15
  4. Step 4: Simplify right side
    2,666.83x = 4,097,132.56
  5. Step 5: Solve for x
    x = 4,097,132.56/2,666.83
  6. Step 6: Final answer
    x = 1,536.33

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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.