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Finding the Fourth Proportional to 2,409.54, 3,323.34 and 1,748.58

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Solution

The fourth proportional to 2,409.54, 3,323.34 and 1,748.58 is: 2,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.54 : 3,323.34 = 1,748.58 : x
  2. Step 2: Convert to fraction form
    2,409.54/3,323.34 = 1,748.58/x
  3. Step 3: Cross multiply
    2,409.54x = 3,323.34 × 1,748.58
  4. Step 4: Simplify right side
    2,409.54x = 5,811,125.86
  5. Step 5: Solve for x
    x = 5,811,125.86/2,409.54
  6. Step 6: Final answer
    x = 2,411.72

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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.