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Finding the Fourth Proportional to 1,599.63, 2,207.85 and 1,039.12

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Solution

The fourth proportional to 1,599.63, 2,207.85 and 1,039.12 is: 1,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.63 : 2,207.85 = 1,039.12 : x
  2. Step 2: Convert to fraction form
    1,599.63/2,207.85 = 1,039.12/x
  3. Step 3: Cross multiply
    1,599.63x = 2,207.85 × 1,039.12
  4. Step 4: Simplify right side
    1,599.63x = 2,294,229.21
  5. Step 5: Solve for x
    x = 2,294,229.21/1,599.63
  6. Step 6: Final answer
    x = 1,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.