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Finding the Fourth Proportional to 2,579.98, 3,560.14 and 1,460.86

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Solution

The fourth proportional to 2,579.98, 3,560.14 and 1,460.86 is: 2,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.98 : 3,560.14 = 1,460.86 : x
  2. Step 2: Convert to fraction form
    2,579.98/3,560.14 = 1,460.86/x
  3. Step 3: Cross multiply
    2,579.98x = 3,560.14 × 1,460.86
  4. Step 4: Simplify right side
    2,579.98x = 5,200,866.12
  5. Step 5: Solve for x
    x = 5,200,866.12/2,579.98
  6. Step 6: Final answer
    x = 2,015.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.