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Finding the Fourth Proportional to 1,918.56, 2,642.36 and 1,656.48

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Solution

The fourth proportional to 1,918.56, 2,642.36 and 1,656.48 is: 2,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.56 : 2,642.36 = 1,656.48 : x
  2. Step 2: Convert to fraction form
    1,918.56/2,642.36 = 1,656.48/x
  3. Step 3: Cross multiply
    1,918.56x = 2,642.36 × 1,656.48
  4. Step 4: Simplify right side
    1,918.56x = 4,377,016.49
  5. Step 5: Solve for x
    x = 4,377,016.49/1,918.56
  6. Step 6: Final answer
    x = 2,281.41

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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.