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Finding the Fourth Proportional to 1,589.47, 2,384.21 and 1,296.66

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Solution

The fourth proportional to 1,589.47, 2,384.21 and 1,296.66 is: 1,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.47 : 2,384.21 = 1,296.66 : x
  2. Step 2: Convert to fraction form
    1,589.47/2,384.21 = 1,296.66/x
  3. Step 3: Cross multiply
    1,589.47x = 2,384.21 × 1,296.66
  4. Step 4: Simplify right side
    1,589.47x = 3,091,491.33
  5. Step 5: Solve for x
    x = 3,091,491.33/1,589.47
  6. Step 6: Final answer
    x = 1,944.98

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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.