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Finding the Fourth Proportional to 2,495, 3,442.26 and 1,446.68

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Solution

The fourth proportional to 2,495, 3,442.26 and 1,446.68 is: 1,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495 : 3,442.26 = 1,446.68 : x
  2. Step 2: Convert to fraction form
    2,495/3,442.26 = 1,446.68/x
  3. Step 3: Cross multiply
    2,495x = 3,442.26 × 1,446.68
  4. Step 4: Simplify right side
    2,495x = 4,979,848.70
  5. Step 5: Solve for x
    x = 4,979,848.70/2,495
  6. Step 6: Final answer
    x = 1,995.93

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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.