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Finding the Fourth Proportional to 2,594.66, 3,891.23 and 1,188.28

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Solution

The fourth proportional to 2,594.66, 3,891.23 and 1,188.28 is: 1,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.66 : 3,891.23 = 1,188.28 : x
  2. Step 2: Convert to fraction form
    2,594.66/3,891.23 = 1,188.28/x
  3. Step 3: Cross multiply
    2,594.66x = 3,891.23 × 1,188.28
  4. Step 4: Simplify right side
    2,594.66x = 4,623,869.76
  5. Step 5: Solve for x
    x = 4,623,869.76/2,594.66
  6. Step 6: Final answer
    x = 1,782.07

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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.