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Finding the Fourth Proportional to 2,594.02, 3,891.65 and 745.10

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Solution

The fourth proportional to 2,594.02, 3,891.65 and 745.10 is: 1,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.02 : 3,891.65 = 745.10 : x
  2. Step 2: Convert to fraction form
    2,594.02/3,891.65 = 745.10/x
  3. Step 3: Cross multiply
    2,594.02x = 3,891.65 × 745.10
  4. Step 4: Simplify right side
    2,594.02x = 2,899,648.96
  5. Step 5: Solve for x
    x = 2,899,648.96/2,594.02
  6. Step 6: Final answer
    x = 1,117.82

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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.