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Finding the Fourth Proportional to 1,984.71, 2,976.63 and 735

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Solution

The fourth proportional to 1,984.71, 2,976.63 and 735 is: 1,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.71 : 2,976.63 = 735 : x
  2. Step 2: Convert to fraction form
    1,984.71/2,976.63 = 735/x
  3. Step 3: Cross multiply
    1,984.71x = 2,976.63 × 735
  4. Step 4: Simplify right side
    1,984.71x = 2,187,823.05
  5. Step 5: Solve for x
    x = 2,187,823.05/1,984.71
  6. Step 6: Final answer
    x = 1,102.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.