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Finding the Fourth Proportional to 2,258, 3,115.84 and 1,262.96

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Solution

The fourth proportional to 2,258, 3,115.84 and 1,262.96 is: 1,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258 : 3,115.84 = 1,262.96 : x
  2. Step 2: Convert to fraction form
    2,258/3,115.84 = 1,262.96/x
  3. Step 3: Cross multiply
    2,258x = 3,115.84 × 1,262.96
  4. Step 4: Simplify right side
    2,258x = 3,935,181.29
  5. Step 5: Solve for x
    x = 3,935,181.29/2,258
  6. Step 6: Final answer
    x = 1,742.77

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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.