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Finding the Fourth Proportional to 3,202.61, 4,805.27 and 1,559.16

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Solution

The fourth proportional to 3,202.61, 4,805.27 and 1,559.16 is: 2,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.61 : 4,805.27 = 1,559.16 : x
  2. Step 2: Convert to fraction form
    3,202.61/4,805.27 = 1,559.16/x
  3. Step 3: Cross multiply
    3,202.61x = 4,805.27 × 1,559.16
  4. Step 4: Simplify right side
    3,202.61x = 7,492,176.98
  5. Step 5: Solve for x
    x = 7,492,176.98/3,202.61
  6. Step 6: Final answer
    x = 2,339.40

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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.