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Finding the Fourth Proportional to 2,681.51, 4,022.26 and 1,038.22

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Solution

The fourth proportional to 2,681.51, 4,022.26 and 1,038.22 is: 1,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.51 : 4,022.26 = 1,038.22 : x
  2. Step 2: Convert to fraction form
    2,681.51/4,022.26 = 1,038.22/x
  3. Step 3: Cross multiply
    2,681.51x = 4,022.26 × 1,038.22
  4. Step 4: Simplify right side
    2,681.51x = 4,175,978.13
  5. Step 5: Solve for x
    x = 4,175,978.13/2,681.51
  6. Step 6: Final answer
    x = 1,557.33

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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.