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Finding the Fourth Proportional to 2,142.62, 2,956.79 and 1,505.45

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Solution

The fourth proportional to 2,142.62, 2,956.79 and 1,505.45 is: 2,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.62 : 2,956.79 = 1,505.45 : x
  2. Step 2: Convert to fraction form
    2,142.62/2,956.79 = 1,505.45/x
  3. Step 3: Cross multiply
    2,142.62x = 2,956.79 × 1,505.45
  4. Step 4: Simplify right side
    2,142.62x = 4,451,299.51
  5. Step 5: Solve for x
    x = 4,451,299.51/2,142.62
  6. Step 6: Final answer
    x = 2,077.50

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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.