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Finding the Fourth Proportional to 2,392.68, 3,292.91 and 2,024.50

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Solution

The fourth proportional to 2,392.68, 3,292.91 and 2,024.50 is: 2,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.68 : 3,292.91 = 2,024.50 : x
  2. Step 2: Convert to fraction form
    2,392.68/3,292.91 = 2,024.50/x
  3. Step 3: Cross multiply
    2,392.68x = 3,292.91 × 2,024.50
  4. Step 4: Simplify right side
    2,392.68x = 6,666,496.30
  5. Step 5: Solve for x
    x = 6,666,496.30/2,392.68
  6. Step 6: Final answer
    x = 2,786.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.