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Finding the Fourth Proportional to 1,801, 2,485.38 and 973

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Solution

The fourth proportional to 1,801, 2,485.38 and 973 is: 1,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801 : 2,485.38 = 973 : x
  2. Step 2: Convert to fraction form
    1,801/2,485.38 = 973/x
  3. Step 3: Cross multiply
    1,801x = 2,485.38 × 973
  4. Step 4: Simplify right side
    1,801x = 2,418,274.74
  5. Step 5: Solve for x
    x = 2,418,274.74/1,801
  6. Step 6: Final answer
    x = 1,342.74

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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.