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Finding the Fourth Proportional to 2,924.76, 4,035.97 and 1,665.94

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Solution

The fourth proportional to 2,924.76, 4,035.97 and 1,665.94 is: 2,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.76 : 4,035.97 = 1,665.94 : x
  2. Step 2: Convert to fraction form
    2,924.76/4,035.97 = 1,665.94/x
  3. Step 3: Cross multiply
    2,924.76x = 4,035.97 × 1,665.94
  4. Step 4: Simplify right side
    2,924.76x = 6,723,683.86
  5. Step 5: Solve for x
    x = 6,723,683.86/2,924.76
  6. Step 6: Final answer
    x = 2,298.88

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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.