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Finding the Fourth Proportional to 2,124.66, 3,184.20 and 1,027.53

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Solution

The fourth proportional to 2,124.66, 3,184.20 and 1,027.53 is: 1,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.66 : 3,184.20 = 1,027.53 : x
  2. Step 2: Convert to fraction form
    2,124.66/3,184.20 = 1,027.53/x
  3. Step 3: Cross multiply
    2,124.66x = 3,184.20 × 1,027.53
  4. Step 4: Simplify right side
    2,124.66x = 3,271,861.03
  5. Step 5: Solve for x
    x = 3,271,861.03/2,124.66
  6. Step 6: Final answer
    x = 1,539.95

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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.