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Finding the Fourth Proportional to 3,322.70, 4,984.05 and 1,567.70

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Solution

The fourth proportional to 3,322.70, 4,984.05 and 1,567.70 is: 2,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.70 : 4,984.05 = 1,567.70 : x
  2. Step 2: Convert to fraction form
    3,322.70/4,984.05 = 1,567.70/x
  3. Step 3: Cross multiply
    3,322.70x = 4,984.05 × 1,567.70
  4. Step 4: Simplify right side
    3,322.70x = 7,813,495.19
  5. Step 5: Solve for x
    x = 7,813,495.19/3,322.70
  6. Step 6: Final answer
    x = 2,351.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.