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Finding the Fourth Proportional to 1,964.61, 2,946.92 and 1,099.53

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Solution

The fourth proportional to 1,964.61, 2,946.92 and 1,099.53 is: 1,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.61 : 2,946.92 = 1,099.53 : x
  2. Step 2: Convert to fraction form
    1,964.61/2,946.92 = 1,099.53/x
  3. Step 3: Cross multiply
    1,964.61x = 2,946.92 × 1,099.53
  4. Step 4: Simplify right side
    1,964.61x = 3,240,221.45
  5. Step 5: Solve for x
    x = 3,240,221.45/1,964.61
  6. Step 6: Final answer
    x = 1,649.30

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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.