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Finding the Fourth Proportional to 1,780.56, 2,669.52 and 842.96

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Solution

The fourth proportional to 1,780.56, 2,669.52 and 842.96 is: 1,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.56 : 2,669.52 = 842.96 : x
  2. Step 2: Convert to fraction form
    1,780.56/2,669.52 = 842.96/x
  3. Step 3: Cross multiply
    1,780.56x = 2,669.52 × 842.96
  4. Step 4: Simplify right side
    1,780.56x = 2,250,298.58
  5. Step 5: Solve for x
    x = 2,250,298.58/1,780.56
  6. Step 6: Final answer
    x = 1,263.82

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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.