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Finding the Fourth Proportional to 2,312.40, 3,468.03 and 1,012.62

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Solution

The fourth proportional to 2,312.40, 3,468.03 and 1,012.62 is: 1,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.40 : 3,468.03 = 1,012.62 : x
  2. Step 2: Convert to fraction form
    2,312.40/3,468.03 = 1,012.62/x
  3. Step 3: Cross multiply
    2,312.40x = 3,468.03 × 1,012.62
  4. Step 4: Simplify right side
    2,312.40x = 3,511,796.54
  5. Step 5: Solve for x
    x = 3,511,796.54/2,312.40
  6. Step 6: Final answer
    x = 1,518.68

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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.