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Finding the Fourth Proportional to 2,589.61, 3,883.47 and 945.67

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Solution

The fourth proportional to 2,589.61, 3,883.47 and 945.67 is: 1,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.61 : 3,883.47 = 945.67 : x
  2. Step 2: Convert to fraction form
    2,589.61/3,883.47 = 945.67/x
  3. Step 3: Cross multiply
    2,589.61x = 3,883.47 × 945.67
  4. Step 4: Simplify right side
    2,589.61x = 3,672,481.07
  5. Step 5: Solve for x
    x = 3,672,481.07/2,589.61
  6. Step 6: Final answer
    x = 1,418.16

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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.