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Finding the Fourth Proportional to 2,264.71, 3,396.58 and 621.11

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Solution

The fourth proportional to 2,264.71, 3,396.58 and 621.11 is: 931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.71 : 3,396.58 = 621.11 : x
  2. Step 2: Convert to fraction form
    2,264.71/3,396.58 = 621.11/x
  3. Step 3: Cross multiply
    2,264.71x = 3,396.58 × 621.11
  4. Step 4: Simplify right side
    2,264.71x = 2,109,649.80
  5. Step 5: Solve for x
    x = 2,109,649.80/2,264.71
  6. Step 6: Final answer
    x = 931.53

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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.