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Finding the Fourth Proportional to 1,226.16, 1,692.10 and 1,133.14

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Solution

The fourth proportional to 1,226.16, 1,692.10 and 1,133.14 is: 1,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.16 : 1,692.10 = 1,133.14 : x
  2. Step 2: Convert to fraction form
    1,226.16/1,692.10 = 1,133.14/x
  3. Step 3: Cross multiply
    1,226.16x = 1,692.10 × 1,133.14
  4. Step 4: Simplify right side
    1,226.16x = 1,917,386.19
  5. Step 5: Solve for x
    x = 1,917,386.19/1,226.16
  6. Step 6: Final answer
    x = 1,563.73

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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.