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Finding the Fourth Proportional to 1,428.84, 2,141.64 and 1,368.09

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Solution

The fourth proportional to 1,428.84, 2,141.64 and 1,368.09 is: 2,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.84 : 2,141.64 = 1,368.09 : x
  2. Step 2: Convert to fraction form
    1,428.84/2,141.64 = 1,368.09/x
  3. Step 3: Cross multiply
    1,428.84x = 2,141.64 × 1,368.09
  4. Step 4: Simplify right side
    1,428.84x = 2,929,956.27
  5. Step 5: Solve for x
    x = 2,929,956.27/1,428.84
  6. Step 6: Final answer
    x = 2,050.58

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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.