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Finding the Fourth Proportional to 1,920.54, 2,880.71 and 946.31

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Solution

The fourth proportional to 1,920.54, 2,880.71 and 946.31 is: 1,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.54 : 2,880.71 = 946.31 : x
  2. Step 2: Convert to fraction form
    1,920.54/2,880.71 = 946.31/x
  3. Step 3: Cross multiply
    1,920.54x = 2,880.71 × 946.31
  4. Step 4: Simplify right side
    1,920.54x = 2,726,050.70
  5. Step 5: Solve for x
    x = 2,726,050.70/1,920.54
  6. Step 6: Final answer
    x = 1,419.42

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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.