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Finding the Fourth Proportional to 1,765.50, 2,647.73 and 840.14

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Solution

The fourth proportional to 1,765.50, 2,647.73 and 840.14 is: 1,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.50 : 2,647.73 = 840.14 : x
  2. Step 2: Convert to fraction form
    1,765.50/2,647.73 = 840.14/x
  3. Step 3: Cross multiply
    1,765.50x = 2,647.73 × 840.14
  4. Step 4: Simplify right side
    1,765.50x = 2,224,463.88
  5. Step 5: Solve for x
    x = 2,224,463.88/1,765.50
  6. Step 6: Final answer
    x = 1,259.96

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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.