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Finding the Fourth Proportional to 2,297.59, 3,442.39 and 1,807.17

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Solution

The fourth proportional to 2,297.59, 3,442.39 and 1,807.17 is: 2,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.59 : 3,442.39 = 1,807.17 : x
  2. Step 2: Convert to fraction form
    2,297.59/3,442.39 = 1,807.17/x
  3. Step 3: Cross multiply
    2,297.59x = 3,442.39 × 1,807.17
  4. Step 4: Simplify right side
    2,297.59x = 6,220,983.94
  5. Step 5: Solve for x
    x = 6,220,983.94/2,297.59
  6. Step 6: Final answer
    x = 2,707.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.