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Finding the Fourth Proportional to 1,962.50, 2,709.59 and 1,216.76

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Solution

The fourth proportional to 1,962.50, 2,709.59 and 1,216.76 is: 1,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.50 : 2,709.59 = 1,216.76 : x
  2. Step 2: Convert to fraction form
    1,962.50/2,709.59 = 1,216.76/x
  3. Step 3: Cross multiply
    1,962.50x = 2,709.59 × 1,216.76
  4. Step 4: Simplify right side
    1,962.50x = 3,296,901.10
  5. Step 5: Solve for x
    x = 3,296,901.10/1,962.50
  6. Step 6: Final answer
    x = 1,679.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.