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Finding the Fourth Proportional to 1,672.14, 2,505.81 and 1,466.22

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Solution

The fourth proportional to 1,672.14, 2,505.81 and 1,466.22 is: 2,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.14 : 2,505.81 = 1,466.22 : x
  2. Step 2: Convert to fraction form
    1,672.14/2,505.81 = 1,466.22/x
  3. Step 3: Cross multiply
    1,672.14x = 2,505.81 × 1,466.22
  4. Step 4: Simplify right side
    1,672.14x = 3,674,068.74
  5. Step 5: Solve for x
    x = 3,674,068.74/1,672.14
  6. Step 6: Final answer
    x = 2,197.23

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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.