Home / 2,297.46-3,442.08-2,137.53

Finding the Fourth Proportional to 2,297.46, 3,442.08 and 2,137.53

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Solution

The fourth proportional to 2,297.46, 3,442.08 and 2,137.53 is: 3,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.46 : 3,442.08 = 2,137.53 : x
  2. Step 2: Convert to fraction form
    2,297.46/3,442.08 = 2,137.53/x
  3. Step 3: Cross multiply
    2,297.46x = 3,442.08 × 2,137.53
  4. Step 4: Simplify right side
    2,297.46x = 7,357,549.26
  5. Step 5: Solve for x
    x = 7,357,549.26/2,297.46
  6. Step 6: Final answer
    x = 3,202.47

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Why These Related Problems?

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