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Finding the Fourth Proportional to 1,375.14, 1,895.82 and 981.48

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Solution

The fourth proportional to 1,375.14, 1,895.82 and 981.48 is: 1,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.14 : 1,895.82 = 981.48 : x
  2. Step 2: Convert to fraction form
    1,375.14/1,895.82 = 981.48/x
  3. Step 3: Cross multiply
    1,375.14x = 1,895.82 × 981.48
  4. Step 4: Simplify right side
    1,375.14x = 1,860,709.41
  5. Step 5: Solve for x
    x = 1,860,709.41/1,375.14
  6. Step 6: Final answer
    x = 1,353.11

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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.