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Finding the Fourth Proportional to 2,267.56, 3,400.99 and 1,017.90

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Solution

The fourth proportional to 2,267.56, 3,400.99 and 1,017.90 is: 1,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.56 : 3,400.99 = 1,017.90 : x
  2. Step 2: Convert to fraction form
    2,267.56/3,400.99 = 1,017.90/x
  3. Step 3: Cross multiply
    2,267.56x = 3,400.99 × 1,017.90
  4. Step 4: Simplify right side
    2,267.56x = 3,461,867.08
  5. Step 5: Solve for x
    x = 3,461,867.08/2,267.56
  6. Step 6: Final answer
    x = 1,526.69

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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.