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Finding the Fourth Proportional to 2,924.77, 4,036.15 and 1,598.47

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Solution

The fourth proportional to 2,924.77, 4,036.15 and 1,598.47 is: 2,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.77 : 4,036.15 = 1,598.47 : x
  2. Step 2: Convert to fraction form
    2,924.77/4,036.15 = 1,598.47/x
  3. Step 3: Cross multiply
    2,924.77x = 4,036.15 × 1,598.47
  4. Step 4: Simplify right side
    2,924.77x = 6,451,664.69
  5. Step 5: Solve for x
    x = 6,451,664.69/2,924.77
  6. Step 6: Final answer
    x = 2,205.87

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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.