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Finding the Fourth Proportional to 3,420.84, 4,720.58 and 1,928.76

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Solution

The fourth proportional to 3,420.84, 4,720.58 and 1,928.76 is: 2,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.84 : 4,720.58 = 1,928.76 : x
  2. Step 2: Convert to fraction form
    3,420.84/4,720.58 = 1,928.76/x
  3. Step 3: Cross multiply
    3,420.84x = 4,720.58 × 1,928.76
  4. Step 4: Simplify right side
    3,420.84x = 9,104,865.88
  5. Step 5: Solve for x
    x = 9,104,865.88/3,420.84
  6. Step 6: Final answer
    x = 2,661.59

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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.