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Finding the Fourth Proportional to 1,594.56, 2,200.29 and 930.93

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Solution

The fourth proportional to 1,594.56, 2,200.29 and 930.93 is: 1,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.56 : 2,200.29 = 930.93 : x
  2. Step 2: Convert to fraction form
    1,594.56/2,200.29 = 930.93/x
  3. Step 3: Cross multiply
    1,594.56x = 2,200.29 × 930.93
  4. Step 4: Simplify right side
    1,594.56x = 2,048,315.97
  5. Step 5: Solve for x
    x = 2,048,315.97/1,594.56
  6. Step 6: Final answer
    x = 1,284.57

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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.