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Finding the Fourth Proportional to 1,534.78, 2,117.94 and 836.14

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Solution

The fourth proportional to 1,534.78, 2,117.94 and 836.14 is: 1,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.78 : 2,117.94 = 836.14 : x
  2. Step 2: Convert to fraction form
    1,534.78/2,117.94 = 836.14/x
  3. Step 3: Cross multiply
    1,534.78x = 2,117.94 × 836.14
  4. Step 4: Simplify right side
    1,534.78x = 1,770,894.35
  5. Step 5: Solve for x
    x = 1,770,894.35/1,534.78
  6. Step 6: Final answer
    x = 1,153.84

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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.