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Finding the Fourth Proportional to 2,656.53, 3,989.61 and 2,328.48

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Solution

The fourth proportional to 2,656.53, 3,989.61 and 2,328.48 is: 3,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.53 : 3,989.61 = 2,328.48 : x
  2. Step 2: Convert to fraction form
    2,656.53/3,989.61 = 2,328.48/x
  3. Step 3: Cross multiply
    2,656.53x = 3,989.61 × 2,328.48
  4. Step 4: Simplify right side
    2,656.53x = 9,289,727.09
  5. Step 5: Solve for x
    x = 9,289,727.09/2,656.53
  6. Step 6: Final answer
    x = 3,496.94

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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.