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Finding the Fourth Proportional to 2,667.65, 4,002.05 and 1,024.19

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Solution

The fourth proportional to 2,667.65, 4,002.05 and 1,024.19 is: 1,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.65 : 4,002.05 = 1,024.19 : x
  2. Step 2: Convert to fraction form
    2,667.65/4,002.05 = 1,024.19/x
  3. Step 3: Cross multiply
    2,667.65x = 4,002.05 × 1,024.19
  4. Step 4: Simplify right side
    2,667.65x = 4,098,859.59
  5. Step 5: Solve for x
    x = 4,098,859.59/2,667.65
  6. Step 6: Final answer
    x = 1,536.51

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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.