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Finding the Fourth Proportional to 2,389.60, 3,598.09 and 2,243.80

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Solution

The fourth proportional to 2,389.60, 3,598.09 and 2,243.80 is: 3,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.60 : 3,598.09 = 2,243.80 : x
  2. Step 2: Convert to fraction form
    2,389.60/3,598.09 = 2,243.80/x
  3. Step 3: Cross multiply
    2,389.60x = 3,598.09 × 2,243.80
  4. Step 4: Simplify right side
    2,389.60x = 8,073,394.34
  5. Step 5: Solve for x
    x = 8,073,394.34/2,389.60
  6. Step 6: Final answer
    x = 3,378.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.