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Finding the Fourth Proportional to 2,564.91, 3,851.01 and 2,447.46

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Solution

The fourth proportional to 2,564.91, 3,851.01 and 2,447.46 is: 3,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.91 : 3,851.01 = 2,447.46 : x
  2. Step 2: Convert to fraction form
    2,564.91/3,851.01 = 2,447.46/x
  3. Step 3: Cross multiply
    2,564.91x = 3,851.01 × 2,447.46
  4. Step 4: Simplify right side
    2,564.91x = 9,425,192.93
  5. Step 5: Solve for x
    x = 9,425,192.93/2,564.91
  6. Step 6: Final answer
    x = 3,674.67

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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.