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Finding the Fourth Proportional to 2,405.70, 3,608.53 and 581.70

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Solution

The fourth proportional to 2,405.70, 3,608.53 and 581.70 is: 872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.70 : 3,608.53 = 581.70 : x
  2. Step 2: Convert to fraction form
    2,405.70/3,608.53 = 581.70/x
  3. Step 3: Cross multiply
    2,405.70x = 3,608.53 × 581.70
  4. Step 4: Simplify right side
    2,405.70x = 2,099,081.90
  5. Step 5: Solve for x
    x = 2,099,081.90/2,405.70
  6. Step 6: Final answer
    x = 872.55

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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.