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Finding the Fourth Proportional to 3,034.76, 4,187.89 and 1,690.37

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Solution

The fourth proportional to 3,034.76, 4,187.89 and 1,690.37 is: 2,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.76 : 4,187.89 = 1,690.37 : x
  2. Step 2: Convert to fraction form
    3,034.76/4,187.89 = 1,690.37/x
  3. Step 3: Cross multiply
    3,034.76x = 4,187.89 × 1,690.37
  4. Step 4: Simplify right side
    3,034.76x = 7,079,083.62
  5. Step 5: Solve for x
    x = 7,079,083.62/3,034.76
  6. Step 6: Final answer
    x = 2,332.67

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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.