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Finding the Fourth Proportional to 3,495.66, 4,824.63 and 2,098.50

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Solution

The fourth proportional to 3,495.66, 4,824.63 and 2,098.50 is: 2,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.66 : 4,824.63 = 2,098.50 : x
  2. Step 2: Convert to fraction form
    3,495.66/4,824.63 = 2,098.50/x
  3. Step 3: Cross multiply
    3,495.66x = 4,824.63 × 2,098.50
  4. Step 4: Simplify right side
    3,495.66x = 10,124,486.06
  5. Step 5: Solve for x
    x = 10,124,486.06/3,495.66
  6. Step 6: Final answer
    x = 2,896.30

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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.