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Finding the Fourth Proportional to 2,384.91, 3,289.41 and 1,597.59

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Solution

The fourth proportional to 2,384.91, 3,289.41 and 1,597.59 is: 2,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.91 : 3,289.41 = 1,597.59 : x
  2. Step 2: Convert to fraction form
    2,384.91/3,289.41 = 1,597.59/x
  3. Step 3: Cross multiply
    2,384.91x = 3,289.41 × 1,597.59
  4. Step 4: Simplify right side
    2,384.91x = 5,255,128.52
  5. Step 5: Solve for x
    x = 5,255,128.52/2,384.91
  6. Step 6: Final answer
    x = 2,203.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.