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Finding the Fourth Proportional to 3,109.68, 4,663.94 and 1,029.70

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Solution

The fourth proportional to 3,109.68, 4,663.94 and 1,029.70 is: 1,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.68 : 4,663.94 = 1,029.70 : x
  2. Step 2: Convert to fraction form
    3,109.68/4,663.94 = 1,029.70/x
  3. Step 3: Cross multiply
    3,109.68x = 4,663.94 × 1,029.70
  4. Step 4: Simplify right side
    3,109.68x = 4,802,459.02
  5. Step 5: Solve for x
    x = 4,802,459.02/3,109.68
  6. Step 6: Final answer
    x = 1,544.36

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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.