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Finding the Fourth Proportional to 2,993.00, 4,130.19 and 1,666.67

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Solution

The fourth proportional to 2,993.00, 4,130.19 and 1,666.67 is: 2,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.00 : 4,130.19 = 1,666.67 : x
  2. Step 2: Convert to fraction form
    2,993.00/4,130.19 = 1,666.67/x
  3. Step 3: Cross multiply
    2,993.00x = 4,130.19 × 1,666.67
  4. Step 4: Simplify right side
    2,993.00x = 6,883,643.12
  5. Step 5: Solve for x
    x = 6,883,643.12/2,993.00
  6. Step 6: Final answer
    x = 2,299.92

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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.