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Finding the Fourth Proportional to 2,092.46, 2,887.98 and 1,428.89

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Solution

The fourth proportional to 2,092.46, 2,887.98 and 1,428.89 is: 1,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.46 : 2,887.98 = 1,428.89 : x
  2. Step 2: Convert to fraction form
    2,092.46/2,887.98 = 1,428.89/x
  3. Step 3: Cross multiply
    2,092.46x = 2,887.98 × 1,428.89
  4. Step 4: Simplify right side
    2,092.46x = 4,126,605.74
  5. Step 5: Solve for x
    x = 4,126,605.74/2,092.46
  6. Step 6: Final answer
    x = 1,972.13

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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.