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Finding the Fourth Proportional to 2,399.13, 3,599.70 and 1,012.77

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Solution

The fourth proportional to 2,399.13, 3,599.70 and 1,012.77 is: 1,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.13 : 3,599.70 = 1,012.77 : x
  2. Step 2: Convert to fraction form
    2,399.13/3,599.70 = 1,012.77/x
  3. Step 3: Cross multiply
    2,399.13x = 3,599.70 × 1,012.77
  4. Step 4: Simplify right side
    2,399.13x = 3,645,668.17
  5. Step 5: Solve for x
    x = 3,645,668.17/2,399.13
  6. Step 6: Final answer
    x = 1,519.58

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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.