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Finding the Fourth Proportional to 1,968.78, 2,718.22 and 1,758.26

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Solution

The fourth proportional to 1,968.78, 2,718.22 and 1,758.26 is: 2,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.78 : 2,718.22 = 1,758.26 : x
  2. Step 2: Convert to fraction form
    1,968.78/2,718.22 = 1,758.26/x
  3. Step 3: Cross multiply
    1,968.78x = 2,718.22 × 1,758.26
  4. Step 4: Simplify right side
    1,968.78x = 4,779,337.50
  5. Step 5: Solve for x
    x = 4,779,337.50/1,968.78
  6. Step 6: Final answer
    x = 2,427.56

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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.