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Finding the Fourth Proportional to 2,495.60, 3,443.94 and 1,433.60

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Solution

The fourth proportional to 2,495.60, 3,443.94 and 1,433.60 is: 1,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.60 : 3,443.94 = 1,433.60 : x
  2. Step 2: Convert to fraction form
    2,495.60/3,443.94 = 1,433.60/x
  3. Step 3: Cross multiply
    2,495.60x = 3,443.94 × 1,433.60
  4. Step 4: Simplify right side
    2,495.60x = 4,937,232.38
  5. Step 5: Solve for x
    x = 4,937,232.38/2,495.60
  6. Step 6: Final answer
    x = 1,978.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.