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Finding the Fourth Proportional to 1,594.26, 2,200.11 and 931.14

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Solution

The fourth proportional to 1,594.26, 2,200.11 and 931.14 is: 1,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.26 : 2,200.11 = 931.14 : x
  2. Step 2: Convert to fraction form
    1,594.26/2,200.11 = 931.14/x
  3. Step 3: Cross multiply
    1,594.26x = 2,200.11 × 931.14
  4. Step 4: Simplify right side
    1,594.26x = 2,048,606.93
  5. Step 5: Solve for x
    x = 2,048,606.93/1,594.26
  6. Step 6: Final answer
    x = 1,284.99

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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.