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Finding the Fourth Proportional to 1,601.64, 2,398.66 and 1,014.58

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Solution

The fourth proportional to 1,601.64, 2,398.66 and 1,014.58 is: 1,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.64 : 2,398.66 = 1,014.58 : x
  2. Step 2: Convert to fraction form
    1,601.64/2,398.66 = 1,014.58/x
  3. Step 3: Cross multiply
    1,601.64x = 2,398.66 × 1,014.58
  4. Step 4: Simplify right side
    1,601.64x = 2,433,632.46
  5. Step 5: Solve for x
    x = 2,433,632.46/1,601.64
  6. Step 6: Final answer
    x = 1,519.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.