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Finding the Fourth Proportional to 1,920.25, 2,880.38 and 1,302.43

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Solution

The fourth proportional to 1,920.25, 2,880.38 and 1,302.43 is: 1,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.25 : 2,880.38 = 1,302.43 : x
  2. Step 2: Convert to fraction form
    1,920.25/2,880.38 = 1,302.43/x
  3. Step 3: Cross multiply
    1,920.25x = 2,880.38 × 1,302.43
  4. Step 4: Simplify right side
    1,920.25x = 3,751,478.92
  5. Step 5: Solve for x
    x = 3,751,478.92/1,920.25
  6. Step 6: Final answer
    x = 1,953.64

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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.