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Finding the Fourth Proportional to 2,784.66, 3,841.14 and 1,840.44

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Solution

The fourth proportional to 2,784.66, 3,841.14 and 1,840.44 is: 2,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.66 : 3,841.14 = 1,840.44 : x
  2. Step 2: Convert to fraction form
    2,784.66/3,841.14 = 1,840.44/x
  3. Step 3: Cross multiply
    2,784.66x = 3,841.14 × 1,840.44
  4. Step 4: Simplify right side
    2,784.66x = 7,069,387.70
  5. Step 5: Solve for x
    x = 7,069,387.70/2,784.66
  6. Step 6: Final answer
    x = 2,538.69

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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.