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Finding the Fourth Proportional to 2,409.60, 3,608.71 and 1,885.93

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Solution

The fourth proportional to 2,409.60, 3,608.71 and 1,885.93 is: 2,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.60 : 3,608.71 = 1,885.93 : x
  2. Step 2: Convert to fraction form
    2,409.60/3,608.71 = 1,885.93/x
  3. Step 3: Cross multiply
    2,409.60x = 3,608.71 × 1,885.93
  4. Step 4: Simplify right side
    2,409.60x = 6,805,774.45
  5. Step 5: Solve for x
    x = 6,805,774.45/2,409.60
  6. Step 6: Final answer
    x = 2,824.44

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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.