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Finding the Fourth Proportional to 3,440.76, 4,749.46 and 2,043.50

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Solution

The fourth proportional to 3,440.76, 4,749.46 and 2,043.50 is: 2,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.76 : 4,749.46 = 2,043.50 : x
  2. Step 2: Convert to fraction form
    3,440.76/4,749.46 = 2,043.50/x
  3. Step 3: Cross multiply
    3,440.76x = 4,749.46 × 2,043.50
  4. Step 4: Simplify right side
    3,440.76x = 9,705,521.51
  5. Step 5: Solve for x
    x = 9,705,521.51/3,440.76
  6. Step 6: Final answer
    x = 2,820.75

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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.