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Finding the Fourth Proportional to 2,389.60, 3,586.08 and 2,185.60

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Solution

The fourth proportional to 2,389.60, 3,586.08 and 2,185.60 is: 3,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.60 : 3,586.08 = 2,185.60 : x
  2. Step 2: Convert to fraction form
    2,389.60/3,586.08 = 2,185.60/x
  3. Step 3: Cross multiply
    2,389.60x = 3,586.08 × 2,185.60
  4. Step 4: Simplify right side
    2,389.60x = 7,837,736.45
  5. Step 5: Solve for x
    x = 7,837,736.45/2,389.60
  6. Step 6: Final answer
    x = 3,279.94

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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.