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Finding the Fourth Proportional to 2,456.84, 3,390.54 and 1,409.11

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Solution

The fourth proportional to 2,456.84, 3,390.54 and 1,409.11 is: 1,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.84 : 3,390.54 = 1,409.11 : x
  2. Step 2: Convert to fraction form
    2,456.84/3,390.54 = 1,409.11/x
  3. Step 3: Cross multiply
    2,456.84x = 3,390.54 × 1,409.11
  4. Step 4: Simplify right side
    2,456.84x = 4,777,643.82
  5. Step 5: Solve for x
    x = 4,777,643.82/2,456.84
  6. Step 6: Final answer
    x = 1,944.63

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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.