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Finding the Fourth Proportional to 2,449.18, 3,675.59 and 988.34

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Solution

The fourth proportional to 2,449.18, 3,675.59 and 988.34 is: 1,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.18 : 3,675.59 = 988.34 : x
  2. Step 2: Convert to fraction form
    2,449.18/3,675.59 = 988.34/x
  3. Step 3: Cross multiply
    2,449.18x = 3,675.59 × 988.34
  4. Step 4: Simplify right side
    2,449.18x = 3,632,727.68
  5. Step 5: Solve for x
    x = 3,632,727.68/2,449.18
  6. Step 6: Final answer
    x = 1,483.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.