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Finding the Fourth Proportional to 1,699.59, 2,549.42 and 1,118.30

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Solution

The fourth proportional to 1,699.59, 2,549.42 and 1,118.30 is: 1,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.59 : 2,549.42 = 1,118.30 : x
  2. Step 2: Convert to fraction form
    1,699.59/2,549.42 = 1,118.30/x
  3. Step 3: Cross multiply
    1,699.59x = 2,549.42 × 1,118.30
  4. Step 4: Simplify right side
    1,699.59x = 2,850,998.05
  5. Step 5: Solve for x
    x = 2,850,998.05/1,699.59
  6. Step 6: Final answer
    x = 1,677.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.