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Finding the Fourth Proportional to 2,979.78, 4,111.38 and 1,860.32

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Solution

The fourth proportional to 2,979.78, 4,111.38 and 1,860.32 is: 2,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.78 : 4,111.38 = 1,860.32 : x
  2. Step 2: Convert to fraction form
    2,979.78/4,111.38 = 1,860.32/x
  3. Step 3: Cross multiply
    2,979.78x = 4,111.38 × 1,860.32
  4. Step 4: Simplify right side
    2,979.78x = 7,648,461.88
  5. Step 5: Solve for x
    x = 7,648,461.88/2,979.78
  6. Step 6: Final answer
    x = 2,566.79

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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.