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Finding the Fourth Proportional to 2,267.34, 3,402.84 and 1,172.02

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Solution

The fourth proportional to 2,267.34, 3,402.84 and 1,172.02 is: 1,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.34 : 3,402.84 = 1,172.02 : x
  2. Step 2: Convert to fraction form
    2,267.34/3,402.84 = 1,172.02/x
  3. Step 3: Cross multiply
    2,267.34x = 3,402.84 × 1,172.02
  4. Step 4: Simplify right side
    2,267.34x = 3,988,205.19
  5. Step 5: Solve for x
    x = 3,988,205.19/2,267.34
  6. Step 6: Final answer
    x = 1,758.98

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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.