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Finding the Fourth Proportional to 3,132.26, 4,699.62 and 1,284.26

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Solution

The fourth proportional to 3,132.26, 4,699.62 and 1,284.26 is: 1,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.26 : 4,699.62 = 1,284.26 : x
  2. Step 2: Convert to fraction form
    3,132.26/4,699.62 = 1,284.26/x
  3. Step 3: Cross multiply
    3,132.26x = 4,699.62 × 1,284.26
  4. Step 4: Simplify right side
    3,132.26x = 6,035,533.98
  5. Step 5: Solve for x
    x = 6,035,533.98/3,132.26
  6. Step 6: Final answer
    x = 1,926.89

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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.