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Finding the Fourth Proportional to 3,410.60, 4,703.82 and 2,012

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Solution

The fourth proportional to 3,410.60, 4,703.82 and 2,012 is: 2,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.60 : 4,703.82 = 2,012 : x
  2. Step 2: Convert to fraction form
    3,410.60/4,703.82 = 2,012/x
  3. Step 3: Cross multiply
    3,410.60x = 4,703.82 × 2,012
  4. Step 4: Simplify right side
    3,410.60x = 9,464,085.84
  5. Step 5: Solve for x
    x = 9,464,085.84/3,410.60
  6. Step 6: Final answer
    x = 2,774.90

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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.