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Finding the Fourth Proportional to 2,605.18, 3,595.75 and 1,597.19

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Solution

The fourth proportional to 2,605.18, 3,595.75 and 1,597.19 is: 2,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.18 : 3,595.75 = 1,597.19 : x
  2. Step 2: Convert to fraction form
    2,605.18/3,595.75 = 1,597.19/x
  3. Step 3: Cross multiply
    2,605.18x = 3,595.75 × 1,597.19
  4. Step 4: Simplify right side
    2,605.18x = 5,743,095.94
  5. Step 5: Solve for x
    x = 5,743,095.94/2,605.18
  6. Step 6: Final answer
    x = 2,204.49

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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.