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Finding the Fourth Proportional to 1,718.37, 2,577.87 and 731.79

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Solution

The fourth proportional to 1,718.37, 2,577.87 and 731.79 is: 1,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.37 : 2,577.87 = 731.79 : x
  2. Step 2: Convert to fraction form
    1,718.37/2,577.87 = 731.79/x
  3. Step 3: Cross multiply
    1,718.37x = 2,577.87 × 731.79
  4. Step 4: Simplify right side
    1,718.37x = 1,886,459.49
  5. Step 5: Solve for x
    x = 1,886,459.49/1,718.37
  6. Step 6: Final answer
    x = 1,097.82

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