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Finding the Fourth Proportional to 2,557.17, 3,835.75 and 1,733.40

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Solution

The fourth proportional to 2,557.17, 3,835.75 and 1,733.40 is: 2,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.17 : 3,835.75 = 1,733.40 : x
  2. Step 2: Convert to fraction form
    2,557.17/3,835.75 = 1,733.40/x
  3. Step 3: Cross multiply
    2,557.17x = 3,835.75 × 1,733.40
  4. Step 4: Simplify right side
    2,557.17x = 6,648,861.20
  5. Step 5: Solve for x
    x = 6,648,861.20/2,557.17
  6. Step 6: Final answer
    x = 2,600.09

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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.