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Finding the Fourth Proportional to 2,082.86, 2,870.38 and 1,492.37

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Solution

The fourth proportional to 2,082.86, 2,870.38 and 1,492.37 is: 2,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.86 : 2,870.38 = 1,492.37 : x
  2. Step 2: Convert to fraction form
    2,082.86/2,870.38 = 1,492.37/x
  3. Step 3: Cross multiply
    2,082.86x = 2,870.38 × 1,492.37
  4. Step 4: Simplify right side
    2,082.86x = 4,283,647.19
  5. Step 5: Solve for x
    x = 4,283,647.19/2,082.86
  6. Step 6: Final answer
    x = 2,056.62

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Why These Related Problems?

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