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Finding the Fourth Proportional to 2,137.32, 3,206.25 and 675.95

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Solution

The fourth proportional to 2,137.32, 3,206.25 and 675.95 is: 1,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.32 : 3,206.25 = 675.95 : x
  2. Step 2: Convert to fraction form
    2,137.32/3,206.25 = 675.95/x
  3. Step 3: Cross multiply
    2,137.32x = 3,206.25 × 675.95
  4. Step 4: Simplify right side
    2,137.32x = 2,167,248.66
  5. Step 5: Solve for x
    x = 2,167,248.66/2,137.32
  6. Step 6: Final answer
    x = 1,014.00

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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.