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Finding the Fourth Proportional to 2,093.81, 2,889.14 and 1,254.35

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Solution

The fourth proportional to 2,093.81, 2,889.14 and 1,254.35 is: 1,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.81 : 2,889.14 = 1,254.35 : x
  2. Step 2: Convert to fraction form
    2,093.81/2,889.14 = 1,254.35/x
  3. Step 3: Cross multiply
    2,093.81x = 2,889.14 × 1,254.35
  4. Step 4: Simplify right side
    2,093.81x = 3,623,993.71
  5. Step 5: Solve for x
    x = 3,623,993.71/2,093.81
  6. Step 6: Final answer
    x = 1,730.82

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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.