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Finding the Fourth Proportional to 2,146.62, 3,214.10 and 1,404.37

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Solution

The fourth proportional to 2,146.62, 3,214.10 and 1,404.37 is: 2,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.62 : 3,214.10 = 1,404.37 : x
  2. Step 2: Convert to fraction form
    2,146.62/3,214.10 = 1,404.37/x
  3. Step 3: Cross multiply
    2,146.62x = 3,214.10 × 1,404.37
  4. Step 4: Simplify right side
    2,146.62x = 4,513,785.25
  5. Step 5: Solve for x
    x = 4,513,785.25/2,146.62
  6. Step 6: Final answer
    x = 2,102.74

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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.