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Finding the Fourth Proportional to 2,774.58, 3,827.97 and 1,595.40

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Solution

The fourth proportional to 2,774.58, 3,827.97 and 1,595.40 is: 2,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.58 : 3,827.97 = 1,595.40 : x
  2. Step 2: Convert to fraction form
    2,774.58/3,827.97 = 1,595.40/x
  3. Step 3: Cross multiply
    2,774.58x = 3,827.97 × 1,595.40
  4. Step 4: Simplify right side
    2,774.58x = 6,107,143.34
  5. Step 5: Solve for x
    x = 6,107,143.34/2,774.58
  6. Step 6: Final answer
    x = 2,201.11

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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.