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Finding the Fourth Proportional to 2,094.99, 3,142.29 and 1,054.58

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Solution

The fourth proportional to 2,094.99, 3,142.29 and 1,054.58 is: 1,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.99 : 3,142.29 = 1,054.58 : x
  2. Step 2: Convert to fraction form
    2,094.99/3,142.29 = 1,054.58/x
  3. Step 3: Cross multiply
    2,094.99x = 3,142.29 × 1,054.58
  4. Step 4: Simplify right side
    2,094.99x = 3,313,790.92
  5. Step 5: Solve for x
    x = 3,313,790.92/2,094.99
  6. Step 6: Final answer
    x = 1,581.77

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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.