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Finding the Fourth Proportional to 2,153.74, 3,230.40 and 593.86

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Solution

The fourth proportional to 2,153.74, 3,230.40 and 593.86 is: 890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.74 : 3,230.40 = 593.86 : x
  2. Step 2: Convert to fraction form
    2,153.74/3,230.40 = 593.86/x
  3. Step 3: Cross multiply
    2,153.74x = 3,230.40 × 593.86
  4. Step 4: Simplify right side
    2,153.74x = 1,918,405.34
  5. Step 5: Solve for x
    x = 1,918,405.34/2,153.74
  6. Step 6: Final answer
    x = 890.73

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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.