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Finding the Fourth Proportional to 2,295.76, 3,168.44 and 1,301.20

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Solution

The fourth proportional to 2,295.76, 3,168.44 and 1,301.20 is: 1,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.76 : 3,168.44 = 1,301.20 : x
  2. Step 2: Convert to fraction form
    2,295.76/3,168.44 = 1,301.20/x
  3. Step 3: Cross multiply
    2,295.76x = 3,168.44 × 1,301.20
  4. Step 4: Simplify right side
    2,295.76x = 4,122,774.13
  5. Step 5: Solve for x
    x = 4,122,774.13/2,295.76
  6. Step 6: Final answer
    x = 1,795.82

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