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Finding the Fourth Proportional to 2,094.74, 3,142.97 and 1,054.18

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Solution

The fourth proportional to 2,094.74, 3,142.97 and 1,054.18 is: 1,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.74 : 3,142.97 = 1,054.18 : x
  2. Step 2: Convert to fraction form
    2,094.74/3,142.97 = 1,054.18/x
  3. Step 3: Cross multiply
    2,094.74x = 3,142.97 × 1,054.18
  4. Step 4: Simplify right side
    2,094.74x = 3,313,256.11
  5. Step 5: Solve for x
    x = 3,313,256.11/2,094.74
  6. Step 6: Final answer
    x = 1,581.70

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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.