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Finding the Fourth Proportional to 1,830.49, 2,525.82 and 1,033.68

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Solution

The fourth proportional to 1,830.49, 2,525.82 and 1,033.68 is: 1,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.49 : 2,525.82 = 1,033.68 : x
  2. Step 2: Convert to fraction form
    1,830.49/2,525.82 = 1,033.68/x
  3. Step 3: Cross multiply
    1,830.49x = 2,525.82 × 1,033.68
  4. Step 4: Simplify right side
    1,830.49x = 2,610,883.30
  5. Step 5: Solve for x
    x = 2,610,883.30/1,830.49
  6. Step 6: Final answer
    x = 1,426.33

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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.