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Finding the Fourth Proportional to 1,920.20, 2,880.30 and 1,725.80

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Solution

The fourth proportional to 1,920.20, 2,880.30 and 1,725.80 is: 2,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.20 : 2,880.30 = 1,725.80 : x
  2. Step 2: Convert to fraction form
    1,920.20/2,880.30 = 1,725.80/x
  3. Step 3: Cross multiply
    1,920.20x = 2,880.30 × 1,725.80
  4. Step 4: Simplify right side
    1,920.20x = 4,970,821.74
  5. Step 5: Solve for x
    x = 4,970,821.74/1,920.20
  6. Step 6: Final answer
    x = 2,588.70

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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.