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Finding the Fourth Proportional to 6,080, 9,120.88 and 1,918.60

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Solution

The fourth proportional to 6,080, 9,120.88 and 1,918.60 is: 2,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080 : 9,120.88 = 1,918.60 : x
  2. Step 2: Convert to fraction form
    6,080/9,120.88 = 1,918.60/x
  3. Step 3: Cross multiply
    6,080x = 9,120.88 × 1,918.60
  4. Step 4: Simplify right side
    6,080x = 17,499,320.37
  5. Step 5: Solve for x
    x = 17,499,320.37/6,080
  6. Step 6: Final answer
    x = 2,878.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.