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Finding the Fourth Proportional to 1,797.91, 2,697.51 and 565.39

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Solution

The fourth proportional to 1,797.91, 2,697.51 and 565.39 is: 848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.91 : 2,697.51 = 565.39 : x
  2. Step 2: Convert to fraction form
    1,797.91/2,697.51 = 565.39/x
  3. Step 3: Cross multiply
    1,797.91x = 2,697.51 × 565.39
  4. Step 4: Simplify right side
    1,797.91x = 1,525,145.18
  5. Step 5: Solve for x
    x = 1,525,145.18/1,797.91
  6. Step 6: Final answer
    x = 848.29

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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.