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Finding the Fourth Proportional to 1,428.89, 1,972.69 and 1,114.88

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Solution

The fourth proportional to 1,428.89, 1,972.69 and 1,114.88 is: 1,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.89 : 1,972.69 = 1,114.88 : x
  2. Step 2: Convert to fraction form
    1,428.89/1,972.69 = 1,114.88/x
  3. Step 3: Cross multiply
    1,428.89x = 1,972.69 × 1,114.88
  4. Step 4: Simplify right side
    1,428.89x = 2,199,299.98
  5. Step 5: Solve for x
    x = 2,199,299.98/1,428.89
  6. Step 6: Final answer
    x = 1,539.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.