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Finding the Fourth Proportional to 1,367.61, 1,885.86 and 1,256.64

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Solution

The fourth proportional to 1,367.61, 1,885.86 and 1,256.64 is: 1,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.61 : 1,885.86 = 1,256.64 : x
  2. Step 2: Convert to fraction form
    1,367.61/1,885.86 = 1,256.64/x
  3. Step 3: Cross multiply
    1,367.61x = 1,885.86 × 1,256.64
  4. Step 4: Simplify right side
    1,367.61x = 2,369,847.11
  5. Step 5: Solve for x
    x = 2,369,847.11/1,367.61
  6. Step 6: Final answer
    x = 1,732.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.