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Finding the Fourth Proportional to 2,992.89, 4,130.01 and 1,666.32

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Solution

The fourth proportional to 2,992.89, 4,130.01 and 1,666.32 is: 2,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.89 : 4,130.01 = 1,666.32 : x
  2. Step 2: Convert to fraction form
    2,992.89/4,130.01 = 1,666.32/x
  3. Step 3: Cross multiply
    2,992.89x = 4,130.01 × 1,666.32
  4. Step 4: Simplify right side
    2,992.89x = 6,881,918.26
  5. Step 5: Solve for x
    x = 6,881,918.26/2,992.89
  6. Step 6: Final answer
    x = 2,299.42

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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.