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Finding the Fourth Proportional to 1,676.93, 2,513.06 and 1,428.84

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Solution

The fourth proportional to 1,676.93, 2,513.06 and 1,428.84 is: 2,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.93 : 2,513.06 = 1,428.84 : x
  2. Step 2: Convert to fraction form
    1,676.93/2,513.06 = 1,428.84/x
  3. Step 3: Cross multiply
    1,676.93x = 2,513.06 × 1,428.84
  4. Step 4: Simplify right side
    1,676.93x = 3,590,753.51
  5. Step 5: Solve for x
    x = 3,590,753.51/1,676.93
  6. Step 6: Final answer
    x = 2,141.26

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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.