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Finding the Fourth Proportional to 2,295.74, 3,168.05 and 1,301.00

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Solution

The fourth proportional to 2,295.74, 3,168.05 and 1,301.00 is: 1,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.74 : 3,168.05 = 1,301.00 : x
  2. Step 2: Convert to fraction form
    2,295.74/3,168.05 = 1,301.00/x
  3. Step 3: Cross multiply
    2,295.74x = 3,168.05 × 1,301.00
  4. Step 4: Simplify right side
    2,295.74x = 4,121,610.70
  5. Step 5: Solve for x
    x = 4,121,610.70/2,295.74
  6. Step 6: Final answer
    x = 1,795.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.