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Finding the Fourth Proportional to 2,455.42, 3,677.43 and 1,412.83

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Solution

The fourth proportional to 2,455.42, 3,677.43 and 1,412.83 is: 2,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.42 : 3,677.43 = 1,412.83 : x
  2. Step 2: Convert to fraction form
    2,455.42/3,677.43 = 1,412.83/x
  3. Step 3: Cross multiply
    2,455.42x = 3,677.43 × 1,412.83
  4. Step 4: Simplify right side
    2,455.42x = 5,195,595.72
  5. Step 5: Solve for x
    x = 5,195,595.72/2,455.42
  6. Step 6: Final answer
    x = 2,115.97

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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.