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Finding the Fourth Proportional to 2,093.64, 3,139.71 and 612.44

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Solution

The fourth proportional to 2,093.64, 3,139.71 and 612.44 is: 918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.64 : 3,139.71 = 612.44 : x
  2. Step 2: Convert to fraction form
    2,093.64/3,139.71 = 612.44/x
  3. Step 3: Cross multiply
    2,093.64x = 3,139.71 × 612.44
  4. Step 4: Simplify right side
    2,093.64x = 1,922,883.99
  5. Step 5: Solve for x
    x = 1,922,883.99/2,093.64
  6. Step 6: Final answer
    x = 918.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.