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Finding the Fourth Proportional to 2,579.65, 3,559.84 and 1,460.58

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Solution

The fourth proportional to 2,579.65, 3,559.84 and 1,460.58 is: 2,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.65 : 3,559.84 = 1,460.58 : x
  2. Step 2: Convert to fraction form
    2,579.65/3,559.84 = 1,460.58/x
  3. Step 3: Cross multiply
    2,579.65x = 3,559.84 × 1,460.58
  4. Step 4: Simplify right side
    2,579.65x = 5,199,406.01
  5. Step 5: Solve for x
    x = 5,199,406.01/2,579.65
  6. Step 6: Final answer
    x = 2,015.55

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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.