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Finding the Fourth Proportional to 4,543.25, 6,818.00 and 1,769.94

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Solution

The fourth proportional to 4,543.25, 6,818.00 and 1,769.94 is: 2,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.25 : 6,818.00 = 1,769.94 : x
  2. Step 2: Convert to fraction form
    4,543.25/6,818.00 = 1,769.94/x
  3. Step 3: Cross multiply
    4,543.25x = 6,818.00 × 1,769.94
  4. Step 4: Simplify right side
    4,543.25x = 12,067,442.07
  5. Step 5: Solve for x
    x = 12,067,442.07/4,543.25
  6. Step 6: Final answer
    x = 2,656.13

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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.