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Finding the Fourth Proportional to 2,588.61, 3,881.97 and 944.67

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Solution

The fourth proportional to 2,588.61, 3,881.97 and 944.67 is: 1,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.61 : 3,881.97 = 944.67 : x
  2. Step 2: Convert to fraction form
    2,588.61/3,881.97 = 944.67/x
  3. Step 3: Cross multiply
    2,588.61x = 3,881.97 × 944.67
  4. Step 4: Simplify right side
    2,588.61x = 3,667,180.60
  5. Step 5: Solve for x
    x = 3,667,180.60/2,588.61
  6. Step 6: Final answer
    x = 1,416.66

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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.