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Finding the Fourth Proportional to 3,099.39, 4,646.76 and 1,866.51

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Solution

The fourth proportional to 3,099.39, 4,646.76 and 1,866.51 is: 2,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.39 : 4,646.76 = 1,866.51 : x
  2. Step 2: Convert to fraction form
    3,099.39/4,646.76 = 1,866.51/x
  3. Step 3: Cross multiply
    3,099.39x = 4,646.76 × 1,866.51
  4. Step 4: Simplify right side
    3,099.39x = 8,673,224.01
  5. Step 5: Solve for x
    x = 8,673,224.01/3,099.39
  6. Step 6: Final answer
    x = 2,798.36

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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.