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Finding the Fourth Proportional to 2,384.94, 3,291.37 and 1,337

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Solution

The fourth proportional to 2,384.94, 3,291.37 and 1,337 is: 1,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.94 : 3,291.37 = 1,337 : x
  2. Step 2: Convert to fraction form
    2,384.94/3,291.37 = 1,337/x
  3. Step 3: Cross multiply
    2,384.94x = 3,291.37 × 1,337
  4. Step 4: Simplify right side
    2,384.94x = 4,400,555.01
  5. Step 5: Solve for x
    x = 4,400,555.01/2,384.94
  6. Step 6: Final answer
    x = 1,845.14

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Why These Related Problems?

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