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Finding the Fourth Proportional to 1,918.58, 2,647.77 and 1,657.22

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Solution

The fourth proportional to 1,918.58, 2,647.77 and 1,657.22 is: 2,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.58 : 2,647.77 = 1,657.22 : x
  2. Step 2: Convert to fraction form
    1,918.58/2,647.77 = 1,657.22/x
  3. Step 3: Cross multiply
    1,918.58x = 2,647.77 × 1,657.22
  4. Step 4: Simplify right side
    1,918.58x = 4,387,937.40
  5. Step 5: Solve for x
    x = 4,387,937.40/1,918.58
  6. Step 6: Final answer
    x = 2,287.08

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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.