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Finding the Fourth Proportional to 2,185.92, 3,017.36 and 1,301.71

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Solution

The fourth proportional to 2,185.92, 3,017.36 and 1,301.71 is: 1,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.92 : 3,017.36 = 1,301.71 : x
  2. Step 2: Convert to fraction form
    2,185.92/3,017.36 = 1,301.71/x
  3. Step 3: Cross multiply
    2,185.92x = 3,017.36 × 1,301.71
  4. Step 4: Simplify right side
    2,185.92x = 3,927,710.42
  5. Step 5: Solve for x
    x = 3,927,710.42/2,185.92
  6. Step 6: Final answer
    x = 1,796.82

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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.