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Finding the Fourth Proportional to 2,751.73, 4,130.22 and 1,708.58

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Solution

The fourth proportional to 2,751.73, 4,130.22 and 1,708.58 is: 2,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.73 : 4,130.22 = 1,708.58 : x
  2. Step 2: Convert to fraction form
    2,751.73/4,130.22 = 1,708.58/x
  3. Step 3: Cross multiply
    2,751.73x = 4,130.22 × 1,708.58
  4. Step 4: Simplify right side
    2,751.73x = 7,056,811.29
  5. Step 5: Solve for x
    x = 7,056,811.29/2,751.73
  6. Step 6: Final answer
    x = 2,564.50

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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.