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Finding the Fourth Proportional to 2,159.72, 2,980.40 and 1,228.22

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Solution

The fourth proportional to 2,159.72, 2,980.40 and 1,228.22 is: 1,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.72 : 2,980.40 = 1,228.22 : x
  2. Step 2: Convert to fraction form
    2,159.72/2,980.40 = 1,228.22/x
  3. Step 3: Cross multiply
    2,159.72x = 2,980.40 × 1,228.22
  4. Step 4: Simplify right side
    2,159.72x = 3,660,586.89
  5. Step 5: Solve for x
    x = 3,660,586.89/2,159.72
  6. Step 6: Final answer
    x = 1,694.94

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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.