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Finding the Fourth Proportional to 2,533.65, 3,797.68 and 1,711.68

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Solution

The fourth proportional to 2,533.65, 3,797.68 and 1,711.68 is: 2,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.65 : 3,797.68 = 1,711.68 : x
  2. Step 2: Convert to fraction form
    2,533.65/3,797.68 = 1,711.68/x
  3. Step 3: Cross multiply
    2,533.65x = 3,797.68 × 1,711.68
  4. Step 4: Simplify right side
    2,533.65x = 6,500,412.90
  5. Step 5: Solve for x
    x = 6,500,412.90/2,533.65
  6. Step 6: Final answer
    x = 2,565.63

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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.