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Finding the Fourth Proportional to 2,082.91, 2,870.47 and 1,492.42

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Solution

The fourth proportional to 2,082.91, 2,870.47 and 1,492.42 is: 2,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.91 : 2,870.47 = 1,492.42 : x
  2. Step 2: Convert to fraction form
    2,082.91/2,870.47 = 1,492.42/x
  3. Step 3: Cross multiply
    2,082.91x = 2,870.47 × 1,492.42
  4. Step 4: Simplify right side
    2,082.91x = 4,283,946.55
  5. Step 5: Solve for x
    x = 4,283,946.55/2,082.91
  6. Step 6: Final answer
    x = 2,056.71

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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.