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Finding the Fourth Proportional to 2,992.83, 4,130.19 and 1,666.50

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Solution

The fourth proportional to 2,992.83, 4,130.19 and 1,666.50 is: 2,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.83 : 4,130.19 = 1,666.50 : x
  2. Step 2: Convert to fraction form
    2,992.83/4,130.19 = 1,666.50/x
  3. Step 3: Cross multiply
    2,992.83x = 4,130.19 × 1,666.50
  4. Step 4: Simplify right side
    2,992.83x = 6,882,961.64
  5. Step 5: Solve for x
    x = 6,882,961.64/2,992.83
  6. Step 6: Final answer
    x = 2,299.82

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