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Finding the Fourth Proportional to 2,296.50, 3,168.12 and 1,411.98

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Solution

The fourth proportional to 2,296.50, 3,168.12 and 1,411.98 is: 1,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.50 : 3,168.12 = 1,411.98 : x
  2. Step 2: Convert to fraction form
    2,296.50/3,168.12 = 1,411.98/x
  3. Step 3: Cross multiply
    2,296.50x = 3,168.12 × 1,411.98
  4. Step 4: Simplify right side
    2,296.50x = 4,473,322.08
  5. Step 5: Solve for x
    x = 4,473,322.08/2,296.50
  6. Step 6: Final answer
    x = 1,947.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.