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Finding the Fourth Proportional to 1,566.28, 2,161.12 and 903.12

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Solution

The fourth proportional to 1,566.28, 2,161.12 and 903.12 is: 1,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.28 : 2,161.12 = 903.12 : x
  2. Step 2: Convert to fraction form
    1,566.28/2,161.12 = 903.12/x
  3. Step 3: Cross multiply
    1,566.28x = 2,161.12 × 903.12
  4. Step 4: Simplify right side
    1,566.28x = 1,951,750.69
  5. Step 5: Solve for x
    x = 1,951,750.69/1,566.28
  6. Step 6: Final answer
    x = 1,246.11

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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.