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Finding the Fourth Proportional to 4,610.17, 6,914.41 and 1,978.14

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Solution

The fourth proportional to 4,610.17, 6,914.41 and 1,978.14 is: 2,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.17 : 6,914.41 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    4,610.17/6,914.41 = 1,978.14/x
  3. Step 3: Cross multiply
    4,610.17x = 6,914.41 × 1,978.14
  4. Step 4: Simplify right side
    4,610.17x = 13,677,671.00
  5. Step 5: Solve for x
    x = 13,677,671.00/4,610.17
  6. Step 6: Final answer
    x = 2,966.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.