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Finding the Fourth Proportional to 2,895.93, 4,344.57 and 1,580.94

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Solution

The fourth proportional to 2,895.93, 4,344.57 and 1,580.94 is: 2,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.93 : 4,344.57 = 1,580.94 : x
  2. Step 2: Convert to fraction form
    2,895.93/4,344.57 = 1,580.94/x
  3. Step 3: Cross multiply
    2,895.93x = 4,344.57 × 1,580.94
  4. Step 4: Simplify right side
    2,895.93x = 6,868,504.50
  5. Step 5: Solve for x
    x = 6,868,504.50/2,895.93
  6. Step 6: Final answer
    x = 2,371.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.