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Finding the Fourth Proportional to 1,396.35, 1,923.72 and 975.96

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Solution

The fourth proportional to 1,396.35, 1,923.72 and 975.96 is: 1,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.35 : 1,923.72 = 975.96 : x
  2. Step 2: Convert to fraction form
    1,396.35/1,923.72 = 975.96/x
  3. Step 3: Cross multiply
    1,396.35x = 1,923.72 × 975.96
  4. Step 4: Simplify right side
    1,396.35x = 1,877,473.77
  5. Step 5: Solve for x
    x = 1,877,473.77/1,396.35
  6. Step 6: Final answer
    x = 1,344.56

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