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Finding the Fourth Proportional to 2,596.05, 3,895.29 and 1,210.14

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Solution

The fourth proportional to 2,596.05, 3,895.29 and 1,210.14 is: 1,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.05 : 3,895.29 = 1,210.14 : x
  2. Step 2: Convert to fraction form
    2,596.05/3,895.29 = 1,210.14/x
  3. Step 3: Cross multiply
    2,596.05x = 3,895.29 × 1,210.14
  4. Step 4: Simplify right side
    2,596.05x = 4,713,846.24
  5. Step 5: Solve for x
    x = 4,713,846.24/2,596.05
  6. Step 6: Final answer
    x = 1,815.78

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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.