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Finding the Fourth Proportional to 2,057.04, 3,082.62 and 1,946.16

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Solution

The fourth proportional to 2,057.04, 3,082.62 and 1,946.16 is: 2,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.04 : 3,082.62 = 1,946.16 : x
  2. Step 2: Convert to fraction form
    2,057.04/3,082.62 = 1,946.16/x
  3. Step 3: Cross multiply
    2,057.04x = 3,082.62 × 1,946.16
  4. Step 4: Simplify right side
    2,057.04x = 5,999,271.74
  5. Step 5: Solve for x
    x = 5,999,271.74/2,057.04
  6. Step 6: Final answer
    x = 2,916.46

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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.