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Finding the Fourth Proportional to 1,681.41, 2,522.94 and 1,126.47

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Solution

The fourth proportional to 1,681.41, 2,522.94 and 1,126.47 is: 1,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.41 : 2,522.94 = 1,126.47 : x
  2. Step 2: Convert to fraction form
    1,681.41/2,522.94 = 1,126.47/x
  3. Step 3: Cross multiply
    1,681.41x = 2,522.94 × 1,126.47
  4. Step 4: Simplify right side
    1,681.41x = 2,842,016.22
  5. Step 5: Solve for x
    x = 2,842,016.22/1,681.41
  6. Step 6: Final answer
    x = 1,690.26

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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.