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Finding the Fourth Proportional to 2,409.84, 3,326.36 and 1,415.09

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Solution

The fourth proportional to 2,409.84, 3,326.36 and 1,415.09 is: 1,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.84 : 3,326.36 = 1,415.09 : x
  2. Step 2: Convert to fraction form
    2,409.84/3,326.36 = 1,415.09/x
  3. Step 3: Cross multiply
    2,409.84x = 3,326.36 × 1,415.09
  4. Step 4: Simplify right side
    2,409.84x = 4,707,098.77
  5. Step 5: Solve for x
    x = 4,707,098.77/2,409.84
  6. Step 6: Final answer
    x = 1,953.28

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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.