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Finding the Fourth Proportional to 2,364.57, 3,263.12 and 1,316.64

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Solution

The fourth proportional to 2,364.57, 3,263.12 and 1,316.64 is: 1,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.57 : 3,263.12 = 1,316.64 : x
  2. Step 2: Convert to fraction form
    2,364.57/3,263.12 = 1,316.64/x
  3. Step 3: Cross multiply
    2,364.57x = 3,263.12 × 1,316.64
  4. Step 4: Simplify right side
    2,364.57x = 4,296,338.00
  5. Step 5: Solve for x
    x = 4,296,338.00/2,364.57
  6. Step 6: Final answer
    x = 1,816.96

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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.