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Finding the Fourth Proportional to 1,775.25, 2,449.94 and 989.28

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Solution

The fourth proportional to 1,775.25, 2,449.94 and 989.28 is: 1,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.25 : 2,449.94 = 989.28 : x
  2. Step 2: Convert to fraction form
    1,775.25/2,449.94 = 989.28/x
  3. Step 3: Cross multiply
    1,775.25x = 2,449.94 × 989.28
  4. Step 4: Simplify right side
    1,775.25x = 2,423,671.70
  5. Step 5: Solve for x
    x = 2,423,671.70/1,775.25
  6. Step 6: Final answer
    x = 1,365.26

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