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Finding the Fourth Proportional to 2,140.65, 2,953.99 and 1,196.49

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Solution

The fourth proportional to 2,140.65, 2,953.99 and 1,196.49 is: 1,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.65 : 2,953.99 = 1,196.49 : x
  2. Step 2: Convert to fraction form
    2,140.65/2,953.99 = 1,196.49/x
  3. Step 3: Cross multiply
    2,140.65x = 2,953.99 × 1,196.49
  4. Step 4: Simplify right side
    2,140.65x = 3,534,403.46
  5. Step 5: Solve for x
    x = 3,534,403.46/2,140.65
  6. Step 6: Final answer
    x = 1,651.09

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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.