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Finding the Fourth Proportional to 2,596.35, 3,893.36 and 747.06

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Solution

The fourth proportional to 2,596.35, 3,893.36 and 747.06 is: 1,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.35 : 3,893.36 = 747.06 : x
  2. Step 2: Convert to fraction form
    2,596.35/3,893.36 = 747.06/x
  3. Step 3: Cross multiply
    2,596.35x = 3,893.36 × 747.06
  4. Step 4: Simplify right side
    2,596.35x = 2,908,569.79
  5. Step 5: Solve for x
    x = 2,908,569.79/2,596.35
  6. Step 6: Final answer
    x = 1,120.25

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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.