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Finding the Fourth Proportional to 3,129.84, 4,692.33 and 1,281.42

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Solution

The fourth proportional to 3,129.84, 4,692.33 and 1,281.42 is: 1,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.84 : 4,692.33 = 1,281.42 : x
  2. Step 2: Convert to fraction form
    3,129.84/4,692.33 = 1,281.42/x
  3. Step 3: Cross multiply
    3,129.84x = 4,692.33 × 1,281.42
  4. Step 4: Simplify right side
    3,129.84x = 6,012,845.51
  5. Step 5: Solve for x
    x = 6,012,845.51/3,129.84
  6. Step 6: Final answer
    x = 1,921.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.