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Finding the Fourth Proportional to 2,264.98, 3,393.77 and 2,178.48

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Solution

The fourth proportional to 2,264.98, 3,393.77 and 2,178.48 is: 3,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.98 : 3,393.77 = 2,178.48 : x
  2. Step 2: Convert to fraction form
    2,264.98/3,393.77 = 2,178.48/x
  3. Step 3: Cross multiply
    2,264.98x = 3,393.77 × 2,178.48
  4. Step 4: Simplify right side
    2,264.98x = 7,393,260.07
  5. Step 5: Solve for x
    x = 7,393,260.07/2,264.98
  6. Step 6: Final answer
    x = 3,264.16

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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.