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Finding the Fourth Proportional to 2,886.30, 3,980.97 and 2,140.29

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Solution

The fourth proportional to 2,886.30, 3,980.97 and 2,140.29 is: 2,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.30 : 3,980.97 = 2,140.29 : x
  2. Step 2: Convert to fraction form
    2,886.30/3,980.97 = 2,140.29/x
  3. Step 3: Cross multiply
    2,886.30x = 3,980.97 × 2,140.29
  4. Step 4: Simplify right side
    2,886.30x = 8,520,430.28
  5. Step 5: Solve for x
    x = 8,520,430.28/2,886.30
  6. Step 6: Final answer
    x = 2,952.03

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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.