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Finding the Fourth Proportional to 3,109.77, 4,663.71 and 1,464.66

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Solution

The fourth proportional to 3,109.77, 4,663.71 and 1,464.66 is: 2,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.77 : 4,663.71 = 1,464.66 : x
  2. Step 2: Convert to fraction form
    3,109.77/4,663.71 = 1,464.66/x
  3. Step 3: Cross multiply
    3,109.77x = 4,663.71 × 1,464.66
  4. Step 4: Simplify right side
    3,109.77x = 6,830,749.49
  5. Step 5: Solve for x
    x = 6,830,749.49/3,109.77
  6. Step 6: Final answer
    x = 2,196.54

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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.