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Finding the Fourth Proportional to 2,978.67, 4,111.89 and 1,859.40

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Solution

The fourth proportional to 2,978.67, 4,111.89 and 1,859.40 is: 2,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.67 : 4,111.89 = 1,859.40 : x
  2. Step 2: Convert to fraction form
    2,978.67/4,111.89 = 1,859.40/x
  3. Step 3: Cross multiply
    2,978.67x = 4,111.89 × 1,859.40
  4. Step 4: Simplify right side
    2,978.67x = 7,645,648.27
  5. Step 5: Solve for x
    x = 7,645,648.27/2,978.67
  6. Step 6: Final answer
    x = 2,566.80

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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.