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Finding the Fourth Proportional to 1,780.20, 2,670.46 and 625.96

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Solution

The fourth proportional to 1,780.20, 2,670.46 and 625.96 is: 939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.20 : 2,670.46 = 625.96 : x
  2. Step 2: Convert to fraction form
    1,780.20/2,670.46 = 625.96/x
  3. Step 3: Cross multiply
    1,780.20x = 2,670.46 × 625.96
  4. Step 4: Simplify right side
    1,780.20x = 1,671,601.14
  5. Step 5: Solve for x
    x = 1,671,601.14/1,780.20
  6. Step 6: Final answer
    x = 939.00

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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.