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Finding the Fourth Proportional to 3,920.22, 5,880.66 and 1,699.20

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Solution

The fourth proportional to 3,920.22, 5,880.66 and 1,699.20 is: 2,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.22 : 5,880.66 = 1,699.20 : x
  2. Step 2: Convert to fraction form
    3,920.22/5,880.66 = 1,699.20/x
  3. Step 3: Cross multiply
    3,920.22x = 5,880.66 × 1,699.20
  4. Step 4: Simplify right side
    3,920.22x = 9,992,417.47
  5. Step 5: Solve for x
    x = 9,992,417.47/3,920.22
  6. Step 6: Final answer
    x = 2,548.94

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1.5x scale

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.