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Finding the Fourth Proportional to 1,999.47, 2,999.67 and 873.93

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Solution

The fourth proportional to 1,999.47, 2,999.67 and 873.93 is: 1,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.47 : 2,999.67 = 873.93 : x
  2. Step 2: Convert to fraction form
    1,999.47/2,999.67 = 873.93/x
  3. Step 3: Cross multiply
    1,999.47x = 2,999.67 × 873.93
  4. Step 4: Simplify right side
    1,999.47x = 2,621,501.60
  5. Step 5: Solve for x
    x = 2,621,501.60/1,999.47
  6. Step 6: Final answer
    x = 1,311.10

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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.