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Finding the Fourth Proportional to 1,618.88, 2,234.53 and 1,400.18

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Solution

The fourth proportional to 1,618.88, 2,234.53 and 1,400.18 is: 1,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.88 : 2,234.53 = 1,400.18 : x
  2. Step 2: Convert to fraction form
    1,618.88/2,234.53 = 1,400.18/x
  3. Step 3: Cross multiply
    1,618.88x = 2,234.53 × 1,400.18
  4. Step 4: Simplify right side
    1,618.88x = 3,128,744.22
  5. Step 5: Solve for x
    x = 3,128,744.22/1,618.88
  6. Step 6: Final answer
    x = 1,932.66

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