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Finding the Fourth Proportional to 1,801.50, 2,486.07 and 973.50

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Solution

The fourth proportional to 1,801.50, 2,486.07 and 973.50 is: 1,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.50 : 2,486.07 = 973.50 : x
  2. Step 2: Convert to fraction form
    1,801.50/2,486.07 = 973.50/x
  3. Step 3: Cross multiply
    1,801.50x = 2,486.07 × 973.50
  4. Step 4: Simplify right side
    1,801.50x = 2,420,189.15
  5. Step 5: Solve for x
    x = 2,420,189.15/1,801.50
  6. Step 6: Final answer
    x = 1,343.43

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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.