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Finding the Fourth Proportional to 2,137.32, 3,205.59 and 577.44

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Solution

The fourth proportional to 2,137.32, 3,205.59 and 577.44 is: 866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.32 : 3,205.59 = 577.44 : x
  2. Step 2: Convert to fraction form
    2,137.32/3,205.59 = 577.44/x
  3. Step 3: Cross multiply
    2,137.32x = 3,205.59 × 577.44
  4. Step 4: Simplify right side
    2,137.32x = 1,851,035.89
  5. Step 5: Solve for x
    x = 1,851,035.89/2,137.32
  6. Step 6: Final answer
    x = 866.05

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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.