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Finding the Fourth Proportional to 2,456.96, 3,390.70 and 1,409.22

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Solution

The fourth proportional to 2,456.96, 3,390.70 and 1,409.22 is: 1,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.96 : 3,390.70 = 1,409.22 : x
  2. Step 2: Convert to fraction form
    2,456.96/3,390.70 = 1,409.22/x
  3. Step 3: Cross multiply
    2,456.96x = 3,390.70 × 1,409.22
  4. Step 4: Simplify right side
    2,456.96x = 4,778,242.25
  5. Step 5: Solve for x
    x = 4,778,242.25/2,456.96
  6. Step 6: Final answer
    x = 1,944.78

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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.