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Finding the Fourth Proportional to 1,415.40, 1,952.28 and 996.64

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Solution

The fourth proportional to 1,415.40, 1,952.28 and 996.64 is: 1,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.40 : 1,952.28 = 996.64 : x
  2. Step 2: Convert to fraction form
    1,415.40/1,952.28 = 996.64/x
  3. Step 3: Cross multiply
    1,415.40x = 1,952.28 × 996.64
  4. Step 4: Simplify right side
    1,415.40x = 1,945,720.34
  5. Step 5: Solve for x
    x = 1,945,720.34/1,415.40
  6. Step 6: Final answer
    x = 1,374.68

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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.