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Finding the Fourth Proportional to 3,460.40, 4,774.44 and 2,063.12

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Solution

The fourth proportional to 3,460.40, 4,774.44 and 2,063.12 is: 2,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.40 : 4,774.44 = 2,063.12 : x
  2. Step 2: Convert to fraction form
    3,460.40/4,774.44 = 2,063.12/x
  3. Step 3: Cross multiply
    3,460.40x = 4,774.44 × 2,063.12
  4. Step 4: Simplify right side
    3,460.40x = 9,850,242.65
  5. Step 5: Solve for x
    x = 9,850,242.65/3,460.40
  6. Step 6: Final answer
    x = 2,846.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.