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Finding the Fourth Proportional to 2,082, 2,873.16 and 1,254.16

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Solution

The fourth proportional to 2,082, 2,873.16 and 1,254.16 is: 1,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082 : 2,873.16 = 1,254.16 : x
  2. Step 2: Convert to fraction form
    2,082/2,873.16 = 1,254.16/x
  3. Step 3: Cross multiply
    2,082x = 2,873.16 × 1,254.16
  4. Step 4: Simplify right side
    2,082x = 3,603,402.35
  5. Step 5: Solve for x
    x = 3,603,402.35/2,082
  6. Step 6: Final answer
    x = 1,730.74

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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.