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Finding the Fourth Proportional to 2,992.30, 4,129.54 and 1,666.16

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Solution

The fourth proportional to 2,992.30, 4,129.54 and 1,666.16 is: 2,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.30 : 4,129.54 = 1,666.16 : x
  2. Step 2: Convert to fraction form
    2,992.30/4,129.54 = 1,666.16/x
  3. Step 3: Cross multiply
    2,992.30x = 4,129.54 × 1,666.16
  4. Step 4: Simplify right side
    2,992.30x = 6,880,474.37
  5. Step 5: Solve for x
    x = 6,880,474.37/2,992.30
  6. Step 6: Final answer
    x = 2,299.39

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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.