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Finding the Fourth Proportional to 2,138.06, 2,951.03 and 1,254.02

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Solution

The fourth proportional to 2,138.06, 2,951.03 and 1,254.02 is: 1,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 2,951.03 = 1,254.02 : x
  2. Step 2: Convert to fraction form
    2,138.06/2,951.03 = 1,254.02/x
  3. Step 3: Cross multiply
    2,138.06x = 2,951.03 × 1,254.02
  4. Step 4: Simplify right side
    2,138.06x = 3,700,639.02
  5. Step 5: Solve for x
    x = 3,700,639.02/2,138.06
  6. Step 6: Final answer
    x = 1,730.84

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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.