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Finding the Fourth Proportional to 2,245.46, 3,368.56 and 1,012.84

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Solution

The fourth proportional to 2,245.46, 3,368.56 and 1,012.84 is: 1,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.46 : 3,368.56 = 1,012.84 : x
  2. Step 2: Convert to fraction form
    2,245.46/3,368.56 = 1,012.84/x
  3. Step 3: Cross multiply
    2,245.46x = 3,368.56 × 1,012.84
  4. Step 4: Simplify right side
    2,245.46x = 3,411,795.47
  5. Step 5: Solve for x
    x = 3,411,795.47/2,245.46
  6. Step 6: Final answer
    x = 1,519.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.