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Finding the Fourth Proportional to 1,775.35, 2,449.92 and 989.50

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Solution

The fourth proportional to 1,775.35, 2,449.92 and 989.50 is: 1,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.35 : 2,449.92 = 989.50 : x
  2. Step 2: Convert to fraction form
    1,775.35/2,449.92 = 989.50/x
  3. Step 3: Cross multiply
    1,775.35x = 2,449.92 × 989.50
  4. Step 4: Simplify right side
    1,775.35x = 2,424,195.84
  5. Step 5: Solve for x
    x = 2,424,195.84/1,775.35
  6. Step 6: Final answer
    x = 1,365.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.