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Finding the Fourth Proportional to 1,797.18, 2,698.50 and 1,567.50

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Solution

The fourth proportional to 1,797.18, 2,698.50 and 1,567.50 is: 2,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.18 : 2,698.50 = 1,567.50 : x
  2. Step 2: Convert to fraction form
    1,797.18/2,698.50 = 1,567.50/x
  3. Step 3: Cross multiply
    1,797.18x = 2,698.50 × 1,567.50
  4. Step 4: Simplify right side
    1,797.18x = 4,229,898.75
  5. Step 5: Solve for x
    x = 4,229,898.75/1,797.18
  6. Step 6: Final answer
    x = 2,353.63

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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.