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Finding the Fourth Proportional to 2,452.40, 3,653.80 and 2,328.47

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Solution

The fourth proportional to 2,452.40, 3,653.80 and 2,328.47 is: 3,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.40 : 3,653.80 = 2,328.47 : x
  2. Step 2: Convert to fraction form
    2,452.40/3,653.80 = 2,328.47/x
  3. Step 3: Cross multiply
    2,452.40x = 3,653.80 × 2,328.47
  4. Step 4: Simplify right side
    2,452.40x = 8,507,739.60
  5. Step 5: Solve for x
    x = 8,507,739.60/2,452.40
  6. Step 6: Final answer
    x = 3,469.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.