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Finding the Fourth Proportional to 3,190.16, 4,780.10 and 1,730

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Solution

The fourth proportional to 3,190.16, 4,780.10 and 1,730 is: 2,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.16 : 4,780.10 = 1,730 : x
  2. Step 2: Convert to fraction form
    3,190.16/4,780.10 = 1,730/x
  3. Step 3: Cross multiply
    3,190.16x = 4,780.10 × 1,730
  4. Step 4: Simplify right side
    3,190.16x = 8,269,573.00
  5. Step 5: Solve for x
    x = 8,269,573.00/3,190.16
  6. Step 6: Final answer
    x = 2,592.21

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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.