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Finding the Fourth Proportional to 2,497.77, 3,448.17 and 1,705.23

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Solution

The fourth proportional to 2,497.77, 3,448.17 and 1,705.23 is: 2,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.77 : 3,448.17 = 1,705.23 : x
  2. Step 2: Convert to fraction form
    2,497.77/3,448.17 = 1,705.23/x
  3. Step 3: Cross multiply
    2,497.77x = 3,448.17 × 1,705.23
  4. Step 4: Simplify right side
    2,497.77x = 5,879,922.93
  5. Step 5: Solve for x
    x = 5,879,922.93/2,497.77
  6. Step 6: Final answer
    x = 2,354.07

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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.