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Finding the Fourth Proportional to 2,573.81, 3,856.16 and 1,184.21

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Solution

The fourth proportional to 2,573.81, 3,856.16 and 1,184.21 is: 1,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.81 : 3,856.16 = 1,184.21 : x
  2. Step 2: Convert to fraction form
    2,573.81/3,856.16 = 1,184.21/x
  3. Step 3: Cross multiply
    2,573.81x = 3,856.16 × 1,184.21
  4. Step 4: Simplify right side
    2,573.81x = 4,566,478.03
  5. Step 5: Solve for x
    x = 4,566,478.03/2,573.81
  6. Step 6: Final answer
    x = 1,774.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.