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Finding the Fourth Proportional to 4,129.09, 6,193.84 and 1,663.58

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Solution

The fourth proportional to 4,129.09, 6,193.84 and 1,663.58 is: 2,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.09 : 6,193.84 = 1,663.58 : x
  2. Step 2: Convert to fraction form
    4,129.09/6,193.84 = 1,663.58/x
  3. Step 3: Cross multiply
    4,129.09x = 6,193.84 × 1,663.58
  4. Step 4: Simplify right side
    4,129.09x = 10,303,959.67
  5. Step 5: Solve for x
    x = 10,303,959.67/4,129.09
  6. Step 6: Final answer
    x = 2,495.46

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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.