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Finding the Fourth Proportional to 2,579.24, 3,870.12 and 1,605.08

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Solution

The fourth proportional to 2,579.24, 3,870.12 and 1,605.08 is: 2,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.24 : 3,870.12 = 1,605.08 : x
  2. Step 2: Convert to fraction form
    2,579.24/3,870.12 = 1,605.08/x
  3. Step 3: Cross multiply
    2,579.24x = 3,870.12 × 1,605.08
  4. Step 4: Simplify right side
    2,579.24x = 6,211,852.21
  5. Step 5: Solve for x
    x = 6,211,852.21/2,579.24
  6. Step 6: Final answer
    x = 2,408.40

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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.