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Finding the Fourth Proportional to 1,295.58, 1,780.54 and 1,213.57

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Solution

The fourth proportional to 1,295.58, 1,780.54 and 1,213.57 is: 1,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.58 : 1,780.54 = 1,213.57 : x
  2. Step 2: Convert to fraction form
    1,295.58/1,780.54 = 1,213.57/x
  3. Step 3: Cross multiply
    1,295.58x = 1,780.54 × 1,213.57
  4. Step 4: Simplify right side
    1,295.58x = 2,160,809.93
  5. Step 5: Solve for x
    x = 2,160,809.93/1,295.58
  6. Step 6: Final answer
    x = 1,667.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.