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Finding the Fourth Proportional to 2,896.08, 4,306.86 and 2,803.81

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Solution

The fourth proportional to 2,896.08, 4,306.86 and 2,803.81 is: 4,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.08 : 4,306.86 = 2,803.81 : x
  2. Step 2: Convert to fraction form
    2,896.08/4,306.86 = 2,803.81/x
  3. Step 3: Cross multiply
    2,896.08x = 4,306.86 × 2,803.81
  4. Step 4: Simplify right side
    2,896.08x = 12,075,632.61
  5. Step 5: Solve for x
    x = 12,075,632.61/2,896.08
  6. Step 6: Final answer
    x = 4,169.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.