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Finding the Fourth Proportional to 2,594.43, 3,893.70 and 1,134.63

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Solution

The fourth proportional to 2,594.43, 3,893.70 and 1,134.63 is: 1,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.43 : 3,893.70 = 1,134.63 : x
  2. Step 2: Convert to fraction form
    2,594.43/3,893.70 = 1,134.63/x
  3. Step 3: Cross multiply
    2,594.43x = 3,893.70 × 1,134.63
  4. Step 4: Simplify right side
    2,594.43x = 4,417,908.83
  5. Step 5: Solve for x
    x = 4,417,908.83/2,594.43
  6. Step 6: Final answer
    x = 1,702.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.