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Finding the Fourth Proportional to 2,774.30, 3,827.25 and 1,594.69

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Solution

The fourth proportional to 2,774.30, 3,827.25 and 1,594.69 is: 2,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.30 : 3,827.25 = 1,594.69 : x
  2. Step 2: Convert to fraction form
    2,774.30/3,827.25 = 1,594.69/x
  3. Step 3: Cross multiply
    2,774.30x = 3,827.25 × 1,594.69
  4. Step 4: Simplify right side
    2,774.30x = 6,103,267.73
  5. Step 5: Solve for x
    x = 6,103,267.73/2,774.30
  6. Step 6: Final answer
    x = 2,199.93

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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.