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Finding the Fourth Proportional to 2,297.98, 3,442.14 and 1,907.02

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Solution

The fourth proportional to 2,297.98, 3,442.14 and 1,907.02 is: 2,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.98 : 3,442.14 = 1,907.02 : x
  2. Step 2: Convert to fraction form
    2,297.98/3,442.14 = 1,907.02/x
  3. Step 3: Cross multiply
    2,297.98x = 3,442.14 × 1,907.02
  4. Step 4: Simplify right side
    2,297.98x = 6,564,229.82
  5. Step 5: Solve for x
    x = 6,564,229.82/2,297.98
  6. Step 6: Final answer
    x = 2,856.52

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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.