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Finding the Fourth Proportional to 1,362.42, 1,881.36 and 921.96

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Solution

The fourth proportional to 1,362.42, 1,881.36 and 921.96 is: 1,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.42 : 1,881.36 = 921.96 : x
  2. Step 2: Convert to fraction form
    1,362.42/1,881.36 = 921.96/x
  3. Step 3: Cross multiply
    1,362.42x = 1,881.36 × 921.96
  4. Step 4: Simplify right side
    1,362.42x = 1,734,538.67
  5. Step 5: Solve for x
    x = 1,734,538.67/1,362.42
  6. Step 6: Final answer
    x = 1,273.13

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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.