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Finding the Fourth Proportional to 1,617.18, 2,230.11 and 1,027.50

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Solution

The fourth proportional to 1,617.18, 2,230.11 and 1,027.50 is: 1,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.18 : 2,230.11 = 1,027.50 : x
  2. Step 2: Convert to fraction form
    1,617.18/2,230.11 = 1,027.50/x
  3. Step 3: Cross multiply
    1,617.18x = 2,230.11 × 1,027.50
  4. Step 4: Simplify right side
    1,617.18x = 2,291,438.03
  5. Step 5: Solve for x
    x = 2,291,438.03/1,617.18
  6. Step 6: Final answer
    x = 1,416.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.