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Finding the Fourth Proportional to 1,594.69, 2,200.93 and 931.93

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Solution

The fourth proportional to 1,594.69, 2,200.93 and 931.93 is: 1,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.69 : 2,200.93 = 931.93 : x
  2. Step 2: Convert to fraction form
    1,594.69/2,200.93 = 931.93/x
  3. Step 3: Cross multiply
    1,594.69x = 2,200.93 × 931.93
  4. Step 4: Simplify right side
    1,594.69x = 2,051,108.04
  5. Step 5: Solve for x
    x = 2,051,108.04/1,594.69
  6. Step 6: Final answer
    x = 1,286.21

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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.