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Finding the Fourth Proportional to 2,134.65, 2,945.76 and 1,190.44

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Solution

The fourth proportional to 2,134.65, 2,945.76 and 1,190.44 is: 1,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.65 : 2,945.76 = 1,190.44 : x
  2. Step 2: Convert to fraction form
    2,134.65/2,945.76 = 1,190.44/x
  3. Step 3: Cross multiply
    2,134.65x = 2,945.76 × 1,190.44
  4. Step 4: Simplify right side
    2,134.65x = 3,506,750.53
  5. Step 5: Solve for x
    x = 3,506,750.53/2,134.65
  6. Step 6: Final answer
    x = 1,642.78

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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.