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Finding the Fourth Proportional to 2,910.58, 4,017.54 and 2,164.30

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Solution

The fourth proportional to 2,910.58, 4,017.54 and 2,164.30 is: 2,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.58 : 4,017.54 = 2,164.30 : x
  2. Step 2: Convert to fraction form
    2,910.58/4,017.54 = 2,164.30/x
  3. Step 3: Cross multiply
    2,910.58x = 4,017.54 × 2,164.30
  4. Step 4: Simplify right side
    2,910.58x = 8,695,161.82
  5. Step 5: Solve for x
    x = 8,695,161.82/2,910.58
  6. Step 6: Final answer
    x = 2,987.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.