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Finding the Fourth Proportional to 2,068.30, 3,102.45 and 608.48

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Solution

The fourth proportional to 2,068.30, 3,102.45 and 608.48 is: 912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.30 : 3,102.45 = 608.48 : x
  2. Step 2: Convert to fraction form
    2,068.30/3,102.45 = 608.48/x
  3. Step 3: Cross multiply
    2,068.30x = 3,102.45 × 608.48
  4. Step 4: Simplify right side
    2,068.30x = 1,887,760.22
  5. Step 5: Solve for x
    x = 1,887,760.22/2,068.30
  6. Step 6: Final answer
    x = 912.71

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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.