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Finding the Fourth Proportional to 1,409.67, 1,944.15 and 1,056.42

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Solution

The fourth proportional to 1,409.67, 1,944.15 and 1,056.42 is: 1,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.67 : 1,944.15 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    1,409.67/1,944.15 = 1,056.42/x
  3. Step 3: Cross multiply
    1,409.67x = 1,944.15 × 1,056.42
  4. Step 4: Simplify right side
    1,409.67x = 2,053,829.22
  5. Step 5: Solve for x
    x = 2,053,829.22/1,409.67
  6. Step 6: Final answer
    x = 1,456.96

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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.