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Finding the Fourth Proportional to 1,566.50, 2,161.37 and 903.20

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Solution

The fourth proportional to 1,566.50, 2,161.37 and 903.20 is: 1,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.50 : 2,161.37 = 903.20 : x
  2. Step 2: Convert to fraction form
    1,566.50/2,161.37 = 903.20/x
  3. Step 3: Cross multiply
    1,566.50x = 2,161.37 × 903.20
  4. Step 4: Simplify right side
    1,566.50x = 1,952,134.06
  5. Step 5: Solve for x
    x = 1,952,134.06/1,566.50
  6. Step 6: Final answer
    x = 1,246.18

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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.