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Finding the Fourth Proportional to 3,131.84, 4,694.52 and 1,400.60

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Solution

The fourth proportional to 3,131.84, 4,694.52 and 1,400.60 is: 2,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.84 : 4,694.52 = 1,400.60 : x
  2. Step 2: Convert to fraction form
    3,131.84/4,694.52 = 1,400.60/x
  3. Step 3: Cross multiply
    3,131.84x = 4,694.52 × 1,400.60
  4. Step 4: Simplify right side
    3,131.84x = 6,575,144.71
  5. Step 5: Solve for x
    x = 6,575,144.71/3,131.84
  6. Step 6: Final answer
    x = 2,099.45

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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.