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Finding the Fourth Proportional to 1,942.50, 2,681.13 and 1,196.94

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Solution

The fourth proportional to 1,942.50, 2,681.13 and 1,196.94 is: 1,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.50 : 2,681.13 = 1,196.94 : x
  2. Step 2: Convert to fraction form
    1,942.50/2,681.13 = 1,196.94/x
  3. Step 3: Cross multiply
    1,942.50x = 2,681.13 × 1,196.94
  4. Step 4: Simplify right side
    1,942.50x = 3,209,151.74
  5. Step 5: Solve for x
    x = 3,209,151.74/1,942.50
  6. Step 6: Final answer
    x = 1,652.07

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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.