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Finding the Fourth Proportional to 1,920.58, 2,880.25 and 824.25

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Solution

The fourth proportional to 1,920.58, 2,880.25 and 824.25 is: 1,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.58 : 2,880.25 = 824.25 : x
  2. Step 2: Convert to fraction form
    1,920.58/2,880.25 = 824.25/x
  3. Step 3: Cross multiply
    1,920.58x = 2,880.25 × 824.25
  4. Step 4: Simplify right side
    1,920.58x = 2,374,046.06
  5. Step 5: Solve for x
    x = 2,374,046.06/1,920.58
  6. Step 6: Final answer
    x = 1,236.11

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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.