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Finding the Fourth Proportional to 1,599.09, 2,205.49 and 1,039.74

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Solution

The fourth proportional to 1,599.09, 2,205.49 and 1,039.74 is: 1,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.09 : 2,205.49 = 1,039.74 : x
  2. Step 2: Convert to fraction form
    1,599.09/2,205.49 = 1,039.74/x
  3. Step 3: Cross multiply
    1,599.09x = 2,205.49 × 1,039.74
  4. Step 4: Simplify right side
    1,599.09x = 2,293,136.17
  5. Step 5: Solve for x
    x = 2,293,136.17/1,599.09
  6. Step 6: Final answer
    x = 1,434.03

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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.