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Finding the Fourth Proportional to 2,980.58, 4,112.00 and 1,918.15

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Solution

The fourth proportional to 2,980.58, 4,112.00 and 1,918.15 is: 2,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.58 : 4,112.00 = 1,918.15 : x
  2. Step 2: Convert to fraction form
    2,980.58/4,112.00 = 1,918.15/x
  3. Step 3: Cross multiply
    2,980.58x = 4,112.00 × 1,918.15
  4. Step 4: Simplify right side
    2,980.58x = 7,887,402.65
  5. Step 5: Solve for x
    x = 7,887,402.65/2,980.58
  6. Step 6: Final answer
    x = 2,646.26

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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.