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Finding the Fourth Proportional to 2,137.76, 3,203.36 and 2,026.88

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Solution

The fourth proportional to 2,137.76, 3,203.36 and 2,026.88 is: 3,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.76 : 3,203.36 = 2,026.88 : x
  2. Step 2: Convert to fraction form
    2,137.76/3,203.36 = 2,026.88/x
  3. Step 3: Cross multiply
    2,137.76x = 3,203.36 × 2,026.88
  4. Step 4: Simplify right side
    2,137.76x = 6,492,826.32
  5. Step 5: Solve for x
    x = 6,492,826.32/2,137.76
  6. Step 6: Final answer
    x = 3,037.21

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