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Finding the Fourth Proportional to 2,364.46, 3,263.02 and 1,316.50

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Solution

The fourth proportional to 2,364.46, 3,263.02 and 1,316.50 is: 1,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.46 : 3,263.02 = 1,316.50 : x
  2. Step 2: Convert to fraction form
    2,364.46/3,263.02 = 1,316.50/x
  3. Step 3: Cross multiply
    2,364.46x = 3,263.02 × 1,316.50
  4. Step 4: Simplify right side
    2,364.46x = 4,295,765.83
  5. Step 5: Solve for x
    x = 4,295,765.83/2,364.46
  6. Step 6: Final answer
    x = 1,816.81

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Why These Related Problems?

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