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Finding the Fourth Proportional to 2,405.56, 3,609.30 and 1,019.20

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Solution

The fourth proportional to 2,405.56, 3,609.30 and 1,019.20 is: 1,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.56 : 3,609.30 = 1,019.20 : x
  2. Step 2: Convert to fraction form
    2,405.56/3,609.30 = 1,019.20/x
  3. Step 3: Cross multiply
    2,405.56x = 3,609.30 × 1,019.20
  4. Step 4: Simplify right side
    2,405.56x = 3,678,598.56
  5. Step 5: Solve for x
    x = 3,678,598.56/2,405.56
  6. Step 6: Final answer
    x = 1,529.21

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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.