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Finding the Fourth Proportional to 2,476.96, 3,418.06 and 1,357.67

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Solution

The fourth proportional to 2,476.96, 3,418.06 and 1,357.67 is: 1,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.96 : 3,418.06 = 1,357.67 : x
  2. Step 2: Convert to fraction form
    2,476.96/3,418.06 = 1,357.67/x
  3. Step 3: Cross multiply
    2,476.96x = 3,418.06 × 1,357.67
  4. Step 4: Simplify right side
    2,476.96x = 4,640,590.73
  5. Step 5: Solve for x
    x = 4,640,590.73/2,476.96
  6. Step 6: Final answer
    x = 1,873.51

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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.