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Finding the Fourth Proportional to 1,678, 2,315.64 and 942

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Solution

The fourth proportional to 1,678, 2,315.64 and 942 is: 1,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678 : 2,315.64 = 942 : x
  2. Step 2: Convert to fraction form
    1,678/2,315.64 = 942/x
  3. Step 3: Cross multiply
    1,678x = 2,315.64 × 942
  4. Step 4: Simplify right side
    1,678x = 2,181,332.88
  5. Step 5: Solve for x
    x = 2,181,332.88/1,678
  6. Step 6: Final answer
    x = 1,299.96

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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.