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Finding the Fourth Proportional to 2,448.80, 3,673.20 and 2,362.40

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Solution

The fourth proportional to 2,448.80, 3,673.20 and 2,362.40 is: 3,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.80 : 3,673.20 = 2,362.40 : x
  2. Step 2: Convert to fraction form
    2,448.80/3,673.20 = 2,362.40/x
  3. Step 3: Cross multiply
    2,448.80x = 3,673.20 × 2,362.40
  4. Step 4: Simplify right side
    2,448.80x = 8,677,567.68
  5. Step 5: Solve for x
    x = 8,677,567.68/2,448.80
  6. Step 6: Final answer
    x = 3,543.60

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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.