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Finding the Fourth Proportional to 2,975.79, 4,462.90 and 895.26

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Solution

The fourth proportional to 2,975.79, 4,462.90 and 895.26 is: 1,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.79 : 4,462.90 = 895.26 : x
  2. Step 2: Convert to fraction form
    2,975.79/4,462.90 = 895.26/x
  3. Step 3: Cross multiply
    2,975.79x = 4,462.90 × 895.26
  4. Step 4: Simplify right side
    2,975.79x = 3,995,455.85
  5. Step 5: Solve for x
    x = 3,995,455.85/2,975.79
  6. Step 6: Final answer
    x = 1,342.65

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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.