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Finding the Fourth Proportional to 1,796.34, 2,692.12 and 870.05

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Solution

The fourth proportional to 1,796.34, 2,692.12 and 870.05 is: 1,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.34 : 2,692.12 = 870.05 : x
  2. Step 2: Convert to fraction form
    1,796.34/2,692.12 = 870.05/x
  3. Step 3: Cross multiply
    1,796.34x = 2,692.12 × 870.05
  4. Step 4: Simplify right side
    1,796.34x = 2,342,279.01
  5. Step 5: Solve for x
    x = 2,342,279.01/1,796.34
  6. Step 6: Final answer
    x = 1,303.92

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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.