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Finding the Fourth Proportional to 1,567.19, 2,162.27 and 937.46

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Solution

The fourth proportional to 1,567.19, 2,162.27 and 937.46 is: 1,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.19 : 2,162.27 = 937.46 : x
  2. Step 2: Convert to fraction form
    1,567.19/2,162.27 = 937.46/x
  3. Step 3: Cross multiply
    1,567.19x = 2,162.27 × 937.46
  4. Step 4: Simplify right side
    1,567.19x = 2,027,026.14
  5. Step 5: Solve for x
    x = 2,027,026.14/1,567.19
  6. Step 6: Final answer
    x = 1,293.42

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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.