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Finding the Fourth Proportional to 2,257.05, 3,114.61 and 1,262.13

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Solution

The fourth proportional to 2,257.05, 3,114.61 and 1,262.13 is: 1,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.05 : 3,114.61 = 1,262.13 : x
  2. Step 2: Convert to fraction form
    2,257.05/3,114.61 = 1,262.13/x
  3. Step 3: Cross multiply
    2,257.05x = 3,114.61 × 1,262.13
  4. Step 4: Simplify right side
    2,257.05x = 3,931,042.72
  5. Step 5: Solve for x
    x = 3,931,042.72/2,257.05
  6. Step 6: Final answer
    x = 1,741.67

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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.