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Finding the Fourth Proportional to 1,718.89, 2,577.97 and 840.49

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Solution

The fourth proportional to 1,718.89, 2,577.97 and 840.49 is: 1,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.89 : 2,577.97 = 840.49 : x
  2. Step 2: Convert to fraction form
    1,718.89/2,577.97 = 840.49/x
  3. Step 3: Cross multiply
    1,718.89x = 2,577.97 × 840.49
  4. Step 4: Simplify right side
    1,718.89x = 2,166,758.01
  5. Step 5: Solve for x
    x = 2,166,758.01/1,718.89
  6. Step 6: Final answer
    x = 1,260.56

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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.