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Finding the Fourth Proportional to 3,065.86, 4,597.62 and 2,185.30

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Solution

The fourth proportional to 3,065.86, 4,597.62 and 2,185.30 is: 3,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.86 : 4,597.62 = 2,185.30 : x
  2. Step 2: Convert to fraction form
    3,065.86/4,597.62 = 2,185.30/x
  3. Step 3: Cross multiply
    3,065.86x = 4,597.62 × 2,185.30
  4. Step 4: Simplify right side
    3,065.86x = 10,047,178.99
  5. Step 5: Solve for x
    x = 10,047,178.99/3,065.86
  6. Step 6: Final answer
    x = 3,277.12

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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.