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Finding the Fourth Proportional to 2,605.70, 3,596.61 and 1,487.24

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Solution

The fourth proportional to 2,605.70, 3,596.61 and 1,487.24 is: 2,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.70 : 3,596.61 = 1,487.24 : x
  2. Step 2: Convert to fraction form
    2,605.70/3,596.61 = 1,487.24/x
  3. Step 3: Cross multiply
    2,605.70x = 3,596.61 × 1,487.24
  4. Step 4: Simplify right side
    2,605.70x = 5,349,022.26
  5. Step 5: Solve for x
    x = 5,349,022.26/2,605.70
  6. Step 6: Final answer
    x = 2,052.82

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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.