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Finding the Fourth Proportional to 3,129.96, 4,695.86 and 1,484.25

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Solution

The fourth proportional to 3,129.96, 4,695.86 and 1,484.25 is: 2,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.96 : 4,695.86 = 1,484.25 : x
  2. Step 2: Convert to fraction form
    3,129.96/4,695.86 = 1,484.25/x
  3. Step 3: Cross multiply
    3,129.96x = 4,695.86 × 1,484.25
  4. Step 4: Simplify right side
    3,129.96x = 6,969,830.21
  5. Step 5: Solve for x
    x = 6,969,830.21/3,129.96
  6. Step 6: Final answer
    x = 2,226.81

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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.