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Finding the Fourth Proportional to 2,082.94, 2,873.36 and 1,410.76

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Solution

The fourth proportional to 2,082.94, 2,873.36 and 1,410.76 is: 1,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.94 : 2,873.36 = 1,410.76 : x
  2. Step 2: Convert to fraction form
    2,082.94/2,873.36 = 1,410.76/x
  3. Step 3: Cross multiply
    2,082.94x = 2,873.36 × 1,410.76
  4. Step 4: Simplify right side
    2,082.94x = 4,053,621.35
  5. Step 5: Solve for x
    x = 4,053,621.35/2,082.94
  6. Step 6: Final answer
    x = 1,946.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.