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Finding the Fourth Proportional to 1,123.43, 1,676.83 and 1,054.17

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Solution

The fourth proportional to 1,123.43, 1,676.83 and 1,054.17 is: 1,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.43 : 1,676.83 = 1,054.17 : x
  2. Step 2: Convert to fraction form
    1,123.43/1,676.83 = 1,054.17/x
  3. Step 3: Cross multiply
    1,123.43x = 1,676.83 × 1,054.17
  4. Step 4: Simplify right side
    1,123.43x = 1,767,664.90
  5. Step 5: Solve for x
    x = 1,767,664.90/1,123.43
  6. Step 6: Final answer
    x = 1,573.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.