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Finding the Fourth Proportional to 2,276.34, 3,416.07 and 795.56

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Solution

The fourth proportional to 2,276.34, 3,416.07 and 795.56 is: 1,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.34 : 3,416.07 = 795.56 : x
  2. Step 2: Convert to fraction form
    2,276.34/3,416.07 = 795.56/x
  3. Step 3: Cross multiply
    2,276.34x = 3,416.07 × 795.56
  4. Step 4: Simplify right side
    2,276.34x = 2,717,684.67
  5. Step 5: Solve for x
    x = 2,717,684.67/2,276.34
  6. Step 6: Final answer
    x = 1,193.89

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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.