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Finding the Fourth Proportional to 2,598.46, 3,896.43 and 866.50

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Solution

The fourth proportional to 2,598.46, 3,896.43 and 866.50 is: 1,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.46 : 3,896.43 = 866.50 : x
  2. Step 2: Convert to fraction form
    2,598.46/3,896.43 = 866.50/x
  3. Step 3: Cross multiply
    2,598.46x = 3,896.43 × 866.50
  4. Step 4: Simplify right side
    2,598.46x = 3,376,256.60
  5. Step 5: Solve for x
    x = 3,376,256.60/2,598.46
  6. Step 6: Final answer
    x = 1,299.33

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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.