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Finding the Fourth Proportional to 1,599.44, 2,395.32 and 914

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Solution

The fourth proportional to 1,599.44, 2,395.32 and 914 is: 1,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.44 : 2,395.32 = 914 : x
  2. Step 2: Convert to fraction form
    1,599.44/2,395.32 = 914/x
  3. Step 3: Cross multiply
    1,599.44x = 2,395.32 × 914
  4. Step 4: Simplify right side
    1,599.44x = 2,189,322.48
  5. Step 5: Solve for x
    x = 2,189,322.48/1,599.44
  6. Step 6: Final answer
    x = 1,368.81

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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.