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Finding the Fourth Proportional to 2,573.64, 3,861.05 and 1,113.21

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Solution

The fourth proportional to 2,573.64, 3,861.05 and 1,113.21 is: 1,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.64 : 3,861.05 = 1,113.21 : x
  2. Step 2: Convert to fraction form
    2,573.64/3,861.05 = 1,113.21/x
  3. Step 3: Cross multiply
    2,573.64x = 3,861.05 × 1,113.21
  4. Step 4: Simplify right side
    2,573.64x = 4,298,153.90
  5. Step 5: Solve for x
    x = 4,298,153.90/2,573.64
  6. Step 6: Final answer
    x = 1,670.07

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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.