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Finding the Fourth Proportional to 1,589.83, 2,384.79 and 1,357.25

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Solution

The fourth proportional to 1,589.83, 2,384.79 and 1,357.25 is: 2,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.83 : 2,384.79 = 1,357.25 : x
  2. Step 2: Convert to fraction form
    1,589.83/2,384.79 = 1,357.25/x
  3. Step 3: Cross multiply
    1,589.83x = 2,384.79 × 1,357.25
  4. Step 4: Simplify right side
    1,589.83x = 3,236,756.23
  5. Step 5: Solve for x
    x = 3,236,756.23/1,589.83
  6. Step 6: Final answer
    x = 2,035.91

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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.