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Finding the Fourth Proportional to 1,594.86, 2,200.80 and 931.26

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Solution

The fourth proportional to 1,594.86, 2,200.80 and 931.26 is: 1,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.86 : 2,200.80 = 931.26 : x
  2. Step 2: Convert to fraction form
    1,594.86/2,200.80 = 931.26/x
  3. Step 3: Cross multiply
    1,594.86x = 2,200.80 × 931.26
  4. Step 4: Simplify right side
    1,594.86x = 2,049,517.01
  5. Step 5: Solve for x
    x = 2,049,517.01/1,594.86
  6. Step 6: Final answer
    x = 1,285.08

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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.