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Finding the Fourth Proportional to 1,804.30, 2,692.33 and 1,429.84

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Solution

The fourth proportional to 1,804.30, 2,692.33 and 1,429.84 is: 2,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.30 : 2,692.33 = 1,429.84 : x
  2. Step 2: Convert to fraction form
    1,804.30/2,692.33 = 1,429.84/x
  3. Step 3: Cross multiply
    1,804.30x = 2,692.33 × 1,429.84
  4. Step 4: Simplify right side
    1,804.30x = 3,849,601.13
  5. Step 5: Solve for x
    x = 3,849,601.13/1,804.30
  6. Step 6: Final answer
    x = 2,133.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.