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Finding the Fourth Proportional to 1,828.81, 2,501.99 and 1,820.98

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Solution

The fourth proportional to 1,828.81, 2,501.99 and 1,820.98 is: 2,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.81 : 2,501.99 = 1,820.98 : x
  2. Step 2: Convert to fraction form
    1,828.81/2,501.99 = 1,820.98/x
  3. Step 3: Cross multiply
    1,828.81x = 2,501.99 × 1,820.98
  4. Step 4: Simplify right side
    1,828.81x = 4,556,073.75
  5. Step 5: Solve for x
    x = 4,556,073.75/1,828.81
  6. Step 6: Final answer
    x = 2,491.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.