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Finding the Fourth Proportional to 4,483.00, 6,722.82 and 1,319.50

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Solution

The fourth proportional to 4,483.00, 6,722.82 and 1,319.50 is: 1,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.00 : 6,722.82 = 1,319.50 : x
  2. Step 2: Convert to fraction form
    4,483.00/6,722.82 = 1,319.50/x
  3. Step 3: Cross multiply
    4,483.00x = 6,722.82 × 1,319.50
  4. Step 4: Simplify right side
    4,483.00x = 8,870,727.38
  5. Step 5: Solve for x
    x = 8,870,727.38/4,483.00
  6. Step 6: Final answer
    x = 1,978.75

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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.