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Finding the Fourth Proportional to 2,846.11, 4,269.13 and 1,364.98

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Solution

The fourth proportional to 2,846.11, 4,269.13 and 1,364.98 is: 2,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.11 : 4,269.13 = 1,364.98 : x
  2. Step 2: Convert to fraction form
    2,846.11/4,269.13 = 1,364.98/x
  3. Step 3: Cross multiply
    2,846.11x = 4,269.13 × 1,364.98
  4. Step 4: Simplify right side
    2,846.11x = 5,827,277.07
  5. Step 5: Solve for x
    x = 5,827,277.07/2,846.11
  6. Step 6: Final answer
    x = 2,047.45

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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.