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Finding the Fourth Proportional to 1,546.42, 2,134.14 and 917.32

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Solution

The fourth proportional to 1,546.42, 2,134.14 and 917.32 is: 1,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.42 : 2,134.14 = 917.32 : x
  2. Step 2: Convert to fraction form
    1,546.42/2,134.14 = 917.32/x
  3. Step 3: Cross multiply
    1,546.42x = 2,134.14 × 917.32
  4. Step 4: Simplify right side
    1,546.42x = 1,957,678.63
  5. Step 5: Solve for x
    x = 1,957,678.63/1,546.42
  6. Step 6: Final answer
    x = 1,265.95

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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.