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Finding the Fourth Proportional to 1,406.18, 1,940.82 and 883.46

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Solution

The fourth proportional to 1,406.18, 1,940.82 and 883.46 is: 1,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.18 : 1,940.82 = 883.46 : x
  2. Step 2: Convert to fraction form
    1,406.18/1,940.82 = 883.46/x
  3. Step 3: Cross multiply
    1,406.18x = 1,940.82 × 883.46
  4. Step 4: Simplify right side
    1,406.18x = 1,714,636.84
  5. Step 5: Solve for x
    x = 1,714,636.84/1,406.18
  6. Step 6: Final answer
    x = 1,219.36

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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.