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Finding the Fourth Proportional to 2,780.66, 4,162.79 and 2,393.15

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Solution

The fourth proportional to 2,780.66, 4,162.79 and 2,393.15 is: 3,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.66 : 4,162.79 = 2,393.15 : x
  2. Step 2: Convert to fraction form
    2,780.66/4,162.79 = 2,393.15/x
  3. Step 3: Cross multiply
    2,780.66x = 4,162.79 × 2,393.15
  4. Step 4: Simplify right side
    2,780.66x = 9,962,166.06
  5. Step 5: Solve for x
    x = 9,962,166.06/2,780.66
  6. Step 6: Final answer
    x = 3,582.66

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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.