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Finding the Fourth Proportional to 3,184.35, 4,393.59 and 1,926.15

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Solution

The fourth proportional to 3,184.35, 4,393.59 and 1,926.15 is: 2,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.35 : 4,393.59 = 1,926.15 : x
  2. Step 2: Convert to fraction form
    3,184.35/4,393.59 = 1,926.15/x
  3. Step 3: Cross multiply
    3,184.35x = 4,393.59 × 1,926.15
  4. Step 4: Simplify right side
    3,184.35x = 8,462,713.38
  5. Step 5: Solve for x
    x = 8,462,713.38/3,184.35
  6. Step 6: Final answer
    x = 2,657.60

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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.