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Finding the Fourth Proportional to 1,625.69, 2,241.11 and 1,159.13

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Solution

The fourth proportional to 1,625.69, 2,241.11 and 1,159.13 is: 1,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.69 : 2,241.11 = 1,159.13 : x
  2. Step 2: Convert to fraction form
    1,625.69/2,241.11 = 1,159.13/x
  3. Step 3: Cross multiply
    1,625.69x = 2,241.11 × 1,159.13
  4. Step 4: Simplify right side
    1,625.69x = 2,597,720.83
  5. Step 5: Solve for x
    x = 2,597,720.83/1,625.69
  6. Step 6: Final answer
    x = 1,597.92

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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.