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Finding the Fourth Proportional to 2,568.86, 3,853.30 and 621.06

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Solution

The fourth proportional to 2,568.86, 3,853.30 and 621.06 is: 931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.86 : 3,853.30 = 621.06 : x
  2. Step 2: Convert to fraction form
    2,568.86/3,853.30 = 621.06/x
  3. Step 3: Cross multiply
    2,568.86x = 3,853.30 × 621.06
  4. Step 4: Simplify right side
    2,568.86x = 2,393,130.50
  5. Step 5: Solve for x
    x = 2,393,130.50/2,568.86
  6. Step 6: Final answer
    x = 931.59

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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.