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Finding the Fourth Proportional to 2,681.88, 4,021.68 and 1,038.12

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Solution

The fourth proportional to 2,681.88, 4,021.68 and 1,038.12 is: 1,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.88 : 4,021.68 = 1,038.12 : x
  2. Step 2: Convert to fraction form
    2,681.88/4,021.68 = 1,038.12/x
  3. Step 3: Cross multiply
    2,681.88x = 4,021.68 × 1,038.12
  4. Step 4: Simplify right side
    2,681.88x = 4,174,986.44
  5. Step 5: Solve for x
    x = 4,174,986.44/2,681.88
  6. Step 6: Final answer
    x = 1,556.74

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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.