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Finding the Fourth Proportional to 2,151.26, 2,974.02 and 2,059.46

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Solution

The fourth proportional to 2,151.26, 2,974.02 and 2,059.46 is: 2,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.26 : 2,974.02 = 2,059.46 : x
  2. Step 2: Convert to fraction form
    2,151.26/2,974.02 = 2,059.46/x
  3. Step 3: Cross multiply
    2,151.26x = 2,974.02 × 2,059.46
  4. Step 4: Simplify right side
    2,151.26x = 6,124,875.23
  5. Step 5: Solve for x
    x = 6,124,875.23/2,151.26
  6. Step 6: Final answer
    x = 2,847.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.