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Finding the Fourth Proportional to 2,409.84, 3,608.04 and 1,237.32

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Solution

The fourth proportional to 2,409.84, 3,608.04 and 1,237.32 is: 1,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.84 : 3,608.04 = 1,237.32 : x
  2. Step 2: Convert to fraction form
    2,409.84/3,608.04 = 1,237.32/x
  3. Step 3: Cross multiply
    2,409.84x = 3,608.04 × 1,237.32
  4. Step 4: Simplify right side
    2,409.84x = 4,464,300.05
  5. Step 5: Solve for x
    x = 4,464,300.05/2,409.84
  6. Step 6: Final answer
    x = 1,852.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.