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Finding the Fourth Proportional to 1,610.72, 2,223 and 912.32

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Solution

The fourth proportional to 1,610.72, 2,223 and 912.32 is: 1,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.72 : 2,223 = 912.32 : x
  2. Step 2: Convert to fraction form
    1,610.72/2,223 = 912.32/x
  3. Step 3: Cross multiply
    1,610.72x = 2,223 × 912.32
  4. Step 4: Simplify right side
    1,610.72x = 2,028,087.36
  5. Step 5: Solve for x
    x = 2,028,087.36/1,610.72
  6. Step 6: Final answer
    x = 1,259.12

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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.