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Finding the Fourth Proportional to 2,297.58, 3,171.24 and 1,303.44

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Solution

The fourth proportional to 2,297.58, 3,171.24 and 1,303.44 is: 1,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.58 : 3,171.24 = 1,303.44 : x
  2. Step 2: Convert to fraction form
    2,297.58/3,171.24 = 1,303.44/x
  3. Step 3: Cross multiply
    2,297.58x = 3,171.24 × 1,303.44
  4. Step 4: Simplify right side
    2,297.58x = 4,133,521.07
  5. Step 5: Solve for x
    x = 4,133,521.07/2,297.58
  6. Step 6: Final answer
    x = 1,799.08

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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.