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Finding the Fourth Proportional to 2,235.34, 3,083.62 and 1,396.68

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Solution

The fourth proportional to 2,235.34, 3,083.62 and 1,396.68 is: 1,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.34 : 3,083.62 = 1,396.68 : x
  2. Step 2: Convert to fraction form
    2,235.34/3,083.62 = 1,396.68/x
  3. Step 3: Cross multiply
    2,235.34x = 3,083.62 × 1,396.68
  4. Step 4: Simplify right side
    2,235.34x = 4,306,830.38
  5. Step 5: Solve for x
    x = 4,306,830.38/2,235.34
  6. Step 6: Final answer
    x = 1,926.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.