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Finding the Fourth Proportional to 3,251.35, 4,878.64 and 1,402.93

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Solution

The fourth proportional to 3,251.35, 4,878.64 and 1,402.93 is: 2,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.35 : 4,878.64 = 1,402.93 : x
  2. Step 2: Convert to fraction form
    3,251.35/4,878.64 = 1,402.93/x
  3. Step 3: Cross multiply
    3,251.35x = 4,878.64 × 1,402.93
  4. Step 4: Simplify right side
    3,251.35x = 6,844,366.02
  5. Step 5: Solve for x
    x = 6,844,366.02/3,251.35
  6. Step 6: Final answer
    x = 2,105.09

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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.