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Finding the Fourth Proportional to 6,460.57, 9,690.90 and 1,780.84

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Solution

The fourth proportional to 6,460.57, 9,690.90 and 1,780.84 is: 2,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.57 : 9,690.90 = 1,780.84 : x
  2. Step 2: Convert to fraction form
    6,460.57/9,690.90 = 1,780.84/x
  3. Step 3: Cross multiply
    6,460.57x = 9,690.90 × 1,780.84
  4. Step 4: Simplify right side
    6,460.57x = 17,257,905.80
  5. Step 5: Solve for x
    x = 17,257,905.80/6,460.57
  6. Step 6: Final answer
    x = 2,671.27

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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.