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Finding the Fourth Proportional to 2,774.18, 3,827.45 and 1,830.44

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Solution

The fourth proportional to 2,774.18, 3,827.45 and 1,830.44 is: 2,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.18 : 3,827.45 = 1,830.44 : x
  2. Step 2: Convert to fraction form
    2,774.18/3,827.45 = 1,830.44/x
  3. Step 3: Cross multiply
    2,774.18x = 3,827.45 × 1,830.44
  4. Step 4: Simplify right side
    2,774.18x = 7,005,917.58
  5. Step 5: Solve for x
    x = 7,005,917.58/2,774.18
  6. Step 6: Final answer
    x = 2,525.40

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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.