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Finding the Fourth Proportional to 1,594.86, 2,200.02 and 965.58

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Solution

The fourth proportional to 1,594.86, 2,200.02 and 965.58 is: 1,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.86 : 2,200.02 = 965.58 : x
  2. Step 2: Convert to fraction form
    1,594.86/2,200.02 = 965.58/x
  3. Step 3: Cross multiply
    1,594.86x = 2,200.02 × 965.58
  4. Step 4: Simplify right side
    1,594.86x = 2,124,295.31
  5. Step 5: Solve for x
    x = 2,124,295.31/1,594.86
  6. Step 6: Final answer
    x = 1,331.96

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1.5x scale

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.