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Finding the Fourth Proportional to 1,356.46, 1,872.23 and 883.54

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Solution

The fourth proportional to 1,356.46, 1,872.23 and 883.54 is: 1,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.46 : 1,872.23 = 883.54 : x
  2. Step 2: Convert to fraction form
    1,356.46/1,872.23 = 883.54/x
  3. Step 3: Cross multiply
    1,356.46x = 1,872.23 × 883.54
  4. Step 4: Simplify right side
    1,356.46x = 1,654,176.32
  5. Step 5: Solve for x
    x = 1,654,176.32/1,356.46
  6. Step 6: Final answer
    x = 1,219.48

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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.