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Finding the Fourth Proportional to 3,305.88, 4,564.08 and 1,980

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Solution

The fourth proportional to 3,305.88, 4,564.08 and 1,980 is: 2,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.88 : 4,564.08 = 1,980 : x
  2. Step 2: Convert to fraction form
    3,305.88/4,564.08 = 1,980/x
  3. Step 3: Cross multiply
    3,305.88x = 4,564.08 × 1,980
  4. Step 4: Simplify right side
    3,305.88x = 9,036,878.40
  5. Step 5: Solve for x
    x = 9,036,878.40/3,305.88
  6. Step 6: Final answer
    x = 2,733.58

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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.