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Finding the Fourth Proportional to 3,034.79, 4,188.57 and 1,775.77

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Solution

The fourth proportional to 3,034.79, 4,188.57 and 1,775.77 is: 2,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.79 : 4,188.57 = 1,775.77 : x
  2. Step 2: Convert to fraction form
    3,034.79/4,188.57 = 1,775.77/x
  3. Step 3: Cross multiply
    3,034.79x = 4,188.57 × 1,775.77
  4. Step 4: Simplify right side
    3,034.79x = 7,437,919.82
  5. Step 5: Solve for x
    x = 7,437,919.82/3,034.79
  6. Step 6: Final answer
    x = 2,450.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.