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Finding the Fourth Proportional to 1,828.99, 2,525.16 and 1,269.28

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Solution

The fourth proportional to 1,828.99, 2,525.16 and 1,269.28 is: 1,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.99 : 2,525.16 = 1,269.28 : x
  2. Step 2: Convert to fraction form
    1,828.99/2,525.16 = 1,269.28/x
  3. Step 3: Cross multiply
    1,828.99x = 2,525.16 × 1,269.28
  4. Step 4: Simplify right side
    1,828.99x = 3,205,135.08
  5. Step 5: Solve for x
    x = 3,205,135.08/1,828.99
  6. Step 6: Final answer
    x = 1,752.41

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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.