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Finding the Fourth Proportional to 2,159.49, 2,980.07 and 1,215.45

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Solution

The fourth proportional to 2,159.49, 2,980.07 and 1,215.45 is: 1,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.49 : 2,980.07 = 1,215.45 : x
  2. Step 2: Convert to fraction form
    2,159.49/2,980.07 = 1,215.45/x
  3. Step 3: Cross multiply
    2,159.49x = 2,980.07 × 1,215.45
  4. Step 4: Simplify right side
    2,159.49x = 3,622,120.00
  5. Step 5: Solve for x
    x = 3,622,120.00/2,159.49
  6. Step 6: Final answer
    x = 1,677.30

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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.