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Finding the Fourth Proportional to 2,774.28, 3,827.70 and 1,594.92

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Solution

The fourth proportional to 2,774.28, 3,827.70 and 1,594.92 is: 2,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.28 : 3,827.70 = 1,594.92 : x
  2. Step 2: Convert to fraction form
    2,774.28/3,827.70 = 1,594.92/x
  3. Step 3: Cross multiply
    2,774.28x = 3,827.70 × 1,594.92
  4. Step 4: Simplify right side
    2,774.28x = 6,104,875.28
  5. Step 5: Solve for x
    x = 6,104,875.28/2,774.28
  6. Step 6: Final answer
    x = 2,200.53

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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.