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Finding the Fourth Proportional to 2,114.41, 3,171.01 and 815.58

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Solution

The fourth proportional to 2,114.41, 3,171.01 and 815.58 is: 1,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.41 : 3,171.01 = 815.58 : x
  2. Step 2: Convert to fraction form
    2,114.41/3,171.01 = 815.58/x
  3. Step 3: Cross multiply
    2,114.41x = 3,171.01 × 815.58
  4. Step 4: Simplify right side
    2,114.41x = 2,586,212.34
  5. Step 5: Solve for x
    x = 2,586,212.34/2,114.41
  6. Step 6: Final answer
    x = 1,223.14

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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.