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Finding the Fourth Proportional to 2,924.58, 4,035.74 and 1,665.61

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Solution

The fourth proportional to 2,924.58, 4,035.74 and 1,665.61 is: 2,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.58 : 4,035.74 = 1,665.61 : x
  2. Step 2: Convert to fraction form
    2,924.58/4,035.74 = 1,665.61/x
  3. Step 3: Cross multiply
    2,924.58x = 4,035.74 × 1,665.61
  4. Step 4: Simplify right side
    2,924.58x = 6,721,975.53
  5. Step 5: Solve for x
    x = 6,721,975.53/2,924.58
  6. Step 6: Final answer
    x = 2,298.44

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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.