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Finding the Fourth Proportional to 2,594.76, 3,892.98 and 863.64

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Solution

The fourth proportional to 2,594.76, 3,892.98 and 863.64 is: 1,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.76 : 3,892.98 = 863.64 : x
  2. Step 2: Convert to fraction form
    2,594.76/3,892.98 = 863.64/x
  3. Step 3: Cross multiply
    2,594.76x = 3,892.98 × 863.64
  4. Step 4: Simplify right side
    2,594.76x = 3,362,133.25
  5. Step 5: Solve for x
    x = 3,362,133.25/2,594.76
  6. Step 6: Final answer
    x = 1,295.74

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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.