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Finding the Fourth Proportional to 2,594.00, 3,891.17 and 745.07

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Solution

The fourth proportional to 2,594.00, 3,891.17 and 745.07 is: 1,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.00 : 3,891.17 = 745.07 : x
  2. Step 2: Convert to fraction form
    2,594.00/3,891.17 = 745.07/x
  3. Step 3: Cross multiply
    2,594.00x = 3,891.17 × 745.07
  4. Step 4: Simplify right side
    2,594.00x = 2,899,180.58
  5. Step 5: Solve for x
    x = 2,899,180.58/2,594.00
  6. Step 6: Final answer
    x = 1,117.65

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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.