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Finding the Fourth Proportional to 1,611.59, 2,398.08 and 1,606.12

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Solution

The fourth proportional to 1,611.59, 2,398.08 and 1,606.12 is: 2,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.59 : 2,398.08 = 1,606.12 : x
  2. Step 2: Convert to fraction form
    1,611.59/2,398.08 = 1,606.12/x
  3. Step 3: Cross multiply
    1,611.59x = 2,398.08 × 1,606.12
  4. Step 4: Simplify right side
    1,611.59x = 3,851,611.02
  5. Step 5: Solve for x
    x = 3,851,611.02/1,611.59
  6. Step 6: Final answer
    x = 2,389.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.