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Finding the Fourth Proportional to 1,673.41, 2,506.47 and 1,022.17

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Solution

The fourth proportional to 1,673.41, 2,506.47 and 1,022.17 is: 1,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.41 : 2,506.47 = 1,022.17 : x
  2. Step 2: Convert to fraction form
    1,673.41/2,506.47 = 1,022.17/x
  3. Step 3: Cross multiply
    1,673.41x = 2,506.47 × 1,022.17
  4. Step 4: Simplify right side
    1,673.41x = 2,562,038.44
  5. Step 5: Solve for x
    x = 2,562,038.44/1,673.41
  6. Step 6: Final answer
    x = 1,531.03

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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.