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Finding the Fourth Proportional to 2,978.19, 4,111.22 and 2,143.08

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Solution

The fourth proportional to 2,978.19, 4,111.22 and 2,143.08 is: 2,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.19 : 4,111.22 = 2,143.08 : x
  2. Step 2: Convert to fraction form
    2,978.19/4,111.22 = 2,143.08/x
  3. Step 3: Cross multiply
    2,978.19x = 4,111.22 × 2,143.08
  4. Step 4: Simplify right side
    2,978.19x = 8,810,678.72
  5. Step 5: Solve for x
    x = 8,810,678.72/2,978.19
  6. Step 6: Final answer
    x = 2,958.40

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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.