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Finding the Fourth Proportional to 2,594.74, 3,890.96 and 745.43

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Solution

The fourth proportional to 2,594.74, 3,890.96 and 745.43 is: 1,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.74 : 3,890.96 = 745.43 : x
  2. Step 2: Convert to fraction form
    2,594.74/3,890.96 = 745.43/x
  3. Step 3: Cross multiply
    2,594.74x = 3,890.96 × 745.43
  4. Step 4: Simplify right side
    2,594.74x = 2,900,438.31
  5. Step 5: Solve for x
    x = 2,900,438.31/2,594.74
  6. Step 6: Final answer
    x = 1,117.81

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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.