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Finding the Fourth Proportional to 4,411.68, 6,620.10 and 1,780.45

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Solution

The fourth proportional to 4,411.68, 6,620.10 and 1,780.45 is: 2,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.68 : 6,620.10 = 1,780.45 : x
  2. Step 2: Convert to fraction form
    4,411.68/6,620.10 = 1,780.45/x
  3. Step 3: Cross multiply
    4,411.68x = 6,620.10 × 1,780.45
  4. Step 4: Simplify right side
    4,411.68x = 11,786,757.05
  5. Step 5: Solve for x
    x = 11,786,757.05/4,411.68
  6. Step 6: Final answer
    x = 2,671.72

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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.