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Finding the Fourth Proportional to 2,098.45, 2,896.74 and 1,417.21

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Solution

The fourth proportional to 2,098.45, 2,896.74 and 1,417.21 is: 1,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.45 : 2,896.74 = 1,417.21 : x
  2. Step 2: Convert to fraction form
    2,098.45/2,896.74 = 1,417.21/x
  3. Step 3: Cross multiply
    2,098.45x = 2,896.74 × 1,417.21
  4. Step 4: Simplify right side
    2,098.45x = 4,105,288.90
  5. Step 5: Solve for x
    x = 4,105,288.90/2,098.45
  6. Step 6: Final answer
    x = 1,956.34

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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.