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Finding the Fourth Proportional to 2,594.93, 3,893.04 and 746.04

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Solution

The fourth proportional to 2,594.93, 3,893.04 and 746.04 is: 1,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.93 : 3,893.04 = 746.04 : x
  2. Step 2: Convert to fraction form
    2,594.93/3,893.04 = 746.04/x
  3. Step 3: Cross multiply
    2,594.93x = 3,893.04 × 746.04
  4. Step 4: Simplify right side
    2,594.93x = 2,904,368.33
  5. Step 5: Solve for x
    x = 2,904,368.33/2,594.93
  6. Step 6: Final answer
    x = 1,119.25

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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.