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Finding the Fourth Proportional to 2,215, 3,057.42 and 1,283.32

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Solution

The fourth proportional to 2,215, 3,057.42 and 1,283.32 is: 1,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215 : 3,057.42 = 1,283.32 : x
  2. Step 2: Convert to fraction form
    2,215/3,057.42 = 1,283.32/x
  3. Step 3: Cross multiply
    2,215x = 3,057.42 × 1,283.32
  4. Step 4: Simplify right side
    2,215x = 3,923,648.23
  5. Step 5: Solve for x
    x = 3,923,648.23/2,215
  6. Step 6: Final answer
    x = 1,771.40

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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.