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Finding the Fourth Proportional to 3,087.49, 4,259.94 and 1,828.57

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Solution

The fourth proportional to 3,087.49, 4,259.94 and 1,828.57 is: 2,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.49 : 4,259.94 = 1,828.57 : x
  2. Step 2: Convert to fraction form
    3,087.49/4,259.94 = 1,828.57/x
  3. Step 3: Cross multiply
    3,087.49x = 4,259.94 × 1,828.57
  4. Step 4: Simplify right side
    3,087.49x = 7,789,598.49
  5. Step 5: Solve for x
    x = 7,789,598.49/3,087.49
  6. Step 6: Final answer
    x = 2,522.96

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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.