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Finding the Fourth Proportional to 2,094.86, 3,142.98 and 1,120.74

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Solution

The fourth proportional to 2,094.86, 3,142.98 and 1,120.74 is: 1,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.86 : 3,142.98 = 1,120.74 : x
  2. Step 2: Convert to fraction form
    2,094.86/3,142.98 = 1,120.74/x
  3. Step 3: Cross multiply
    2,094.86x = 3,142.98 × 1,120.74
  4. Step 4: Simplify right side
    2,094.86x = 3,522,463.41
  5. Step 5: Solve for x
    x = 3,522,463.41/2,094.86
  6. Step 6: Final answer
    x = 1,681.48

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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.