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Finding the Fourth Proportional to 2,945.96, 4,062.71 and 2,225.16

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Solution

The fourth proportional to 2,945.96, 4,062.71 and 2,225.16 is: 3,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.96 : 4,062.71 = 2,225.16 : x
  2. Step 2: Convert to fraction form
    2,945.96/4,062.71 = 2,225.16/x
  3. Step 3: Cross multiply
    2,945.96x = 4,062.71 × 2,225.16
  4. Step 4: Simplify right side
    2,945.96x = 9,040,168.66
  5. Step 5: Solve for x
    x = 9,040,168.66/2,945.96
  6. Step 6: Final answer
    x = 3,068.67

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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.