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Finding the Fourth Proportional to 3,494.64, 4,822.02 and 2,097.39

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Solution

The fourth proportional to 3,494.64, 4,822.02 and 2,097.39 is: 2,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.64 : 4,822.02 = 2,097.39 : x
  2. Step 2: Convert to fraction form
    3,494.64/4,822.02 = 2,097.39/x
  3. Step 3: Cross multiply
    3,494.64x = 4,822.02 × 2,097.39
  4. Step 4: Simplify right side
    3,494.64x = 10,113,656.53
  5. Step 5: Solve for x
    x = 10,113,656.53/3,494.64
  6. Step 6: Final answer
    x = 2,894.05

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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.