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Finding the Fourth Proportional to 3,094.86, 4,641.35 and 1,120.25

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Solution

The fourth proportional to 3,094.86, 4,641.35 and 1,120.25 is: 1,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.86 : 4,641.35 = 1,120.25 : x
  2. Step 2: Convert to fraction form
    3,094.86/4,641.35 = 1,120.25/x
  3. Step 3: Cross multiply
    3,094.86x = 4,641.35 × 1,120.25
  4. Step 4: Simplify right side
    3,094.86x = 5,199,458.53
  5. Step 5: Solve for x
    x = 5,199,458.53/3,094.86
  6. Step 6: Final answer
    x = 1,680.03

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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.