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Finding the Fourth Proportional to 2,264.29, 3,395.98 and 620.41

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Solution

The fourth proportional to 2,264.29, 3,395.98 and 620.41 is: 930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.29 : 3,395.98 = 620.41 : x
  2. Step 2: Convert to fraction form
    2,264.29/3,395.98 = 620.41/x
  3. Step 3: Cross multiply
    2,264.29x = 3,395.98 × 620.41
  4. Step 4: Simplify right side
    2,264.29x = 2,106,899.95
  5. Step 5: Solve for x
    x = 2,106,899.95/2,264.29
  6. Step 6: Final answer
    x = 930.49

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Why These Related Problems?

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