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Finding the Fourth Proportional to 2,071.52, 3,107.30 and 611.68

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Solution

The fourth proportional to 2,071.52, 3,107.30 and 611.68 is: 917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.52 : 3,107.30 = 611.68 : x
  2. Step 2: Convert to fraction form
    2,071.52/3,107.30 = 611.68/x
  3. Step 3: Cross multiply
    2,071.52x = 3,107.30 × 611.68
  4. Step 4: Simplify right side
    2,071.52x = 1,900,673.26
  5. Step 5: Solve for x
    x = 1,900,673.26/2,071.52
  6. Step 6: Final answer
    x = 917.53

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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.