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Finding the Fourth Proportional to 1,594.09, 2,199.95 and 930.70

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Solution

The fourth proportional to 1,594.09, 2,199.95 and 930.70 is: 1,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.09 : 2,199.95 = 930.70 : x
  2. Step 2: Convert to fraction form
    1,594.09/2,199.95 = 930.70/x
  3. Step 3: Cross multiply
    1,594.09x = 2,199.95 × 930.70
  4. Step 4: Simplify right side
    1,594.09x = 2,047,493.47
  5. Step 5: Solve for x
    x = 2,047,493.47/1,594.09
  6. Step 6: Final answer
    x = 1,284.43

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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.