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Finding the Fourth Proportional to 3,338.76, 5,011.16 and 1,780.07

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Solution

The fourth proportional to 3,338.76, 5,011.16 and 1,780.07 is: 2,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.76 : 5,011.16 = 1,780.07 : x
  2. Step 2: Convert to fraction form
    3,338.76/5,011.16 = 1,780.07/x
  3. Step 3: Cross multiply
    3,338.76x = 5,011.16 × 1,780.07
  4. Step 4: Simplify right side
    3,338.76x = 8,920,181.63
  5. Step 5: Solve for x
    x = 8,920,181.63/3,338.76
  6. Step 6: Final answer
    x = 2,671.70

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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.