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Finding the Fourth Proportional to 2,449.24, 3,675.38 and 988.40

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Solution

The fourth proportional to 2,449.24, 3,675.38 and 988.40 is: 1,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.24 : 3,675.38 = 988.40 : x
  2. Step 2: Convert to fraction form
    2,449.24/3,675.38 = 988.40/x
  3. Step 3: Cross multiply
    2,449.24x = 3,675.38 × 988.40
  4. Step 4: Simplify right side
    2,449.24x = 3,632,749.84
  5. Step 5: Solve for x
    x = 3,632,749.84/2,449.24
  6. Step 6: Final answer
    x = 1,483.22

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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.