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Finding the Fourth Proportional to 2,644.68, 3,967.02 and 795.78

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Solution

The fourth proportional to 2,644.68, 3,967.02 and 795.78 is: 1,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.68 : 3,967.02 = 795.78 : x
  2. Step 2: Convert to fraction form
    2,644.68/3,967.02 = 795.78/x
  3. Step 3: Cross multiply
    2,644.68x = 3,967.02 × 795.78
  4. Step 4: Simplify right side
    2,644.68x = 3,156,875.18
  5. Step 5: Solve for x
    x = 3,156,875.18/2,644.68
  6. Step 6: Final answer
    x = 1,193.67

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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.