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Finding the Fourth Proportional to 3,155.98, 4,735.05 and 1,400.44

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Solution

The fourth proportional to 3,155.98, 4,735.05 and 1,400.44 is: 2,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.98 : 4,735.05 = 1,400.44 : x
  2. Step 2: Convert to fraction form
    3,155.98/4,735.05 = 1,400.44/x
  3. Step 3: Cross multiply
    3,155.98x = 4,735.05 × 1,400.44
  4. Step 4: Simplify right side
    3,155.98x = 6,631,153.42
  5. Step 5: Solve for x
    x = 6,631,153.42/3,155.98
  6. Step 6: Final answer
    x = 2,101.14

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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.