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Finding the Fourth Proportional to 2,267.55, 3,398.08 and 1,291.64

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Solution

The fourth proportional to 2,267.55, 3,398.08 and 1,291.64 is: 1,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.55 : 3,398.08 = 1,291.64 : x
  2. Step 2: Convert to fraction form
    2,267.55/3,398.08 = 1,291.64/x
  3. Step 3: Cross multiply
    2,267.55x = 3,398.08 × 1,291.64
  4. Step 4: Simplify right side
    2,267.55x = 4,389,079.06
  5. Step 5: Solve for x
    x = 4,389,079.06/2,267.55
  6. Step 6: Final answer
    x = 1,935.60

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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.