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Finding the Fourth Proportional to 2,649.73, 3,656.34 and 1,718.23

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Solution

The fourth proportional to 2,649.73, 3,656.34 and 1,718.23 is: 2,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.73 : 3,656.34 = 1,718.23 : x
  2. Step 2: Convert to fraction form
    2,649.73/3,656.34 = 1,718.23/x
  3. Step 3: Cross multiply
    2,649.73x = 3,656.34 × 1,718.23
  4. Step 4: Simplify right side
    2,649.73x = 6,282,433.08
  5. Step 5: Solve for x
    x = 6,282,433.08/2,649.73
  6. Step 6: Final answer
    x = 2,370.97

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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.