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Finding the Fourth Proportional to 1,780.27, 2,670.37 and 805.69

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Solution

The fourth proportional to 1,780.27, 2,670.37 and 805.69 is: 1,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.27 : 2,670.37 = 805.69 : x
  2. Step 2: Convert to fraction form
    1,780.27/2,670.37 = 805.69/x
  3. Step 3: Cross multiply
    1,780.27x = 2,670.37 × 805.69
  4. Step 4: Simplify right side
    1,780.27x = 2,151,490.41
  5. Step 5: Solve for x
    x = 2,151,490.41/1,780.27
  6. Step 6: Final answer
    x = 1,208.52

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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.