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Finding the Fourth Proportional to 1,414.77, 2,120.77 and 673.10

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Solution

The fourth proportional to 1,414.77, 2,120.77 and 673.10 is: 1,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.77 : 2,120.77 = 673.10 : x
  2. Step 2: Convert to fraction form
    1,414.77/2,120.77 = 673.10/x
  3. Step 3: Cross multiply
    1,414.77x = 2,120.77 × 673.10
  4. Step 4: Simplify right side
    1,414.77x = 1,427,496.34
  5. Step 5: Solve for x
    x = 1,427,496.34/1,414.77
  6. Step 6: Final answer
    x = 1,009.00

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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.