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Finding the Fourth Proportional to 2,034.60, 3,050.07 and 1,690.76

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Solution

The fourth proportional to 2,034.60, 3,050.07 and 1,690.76 is: 2,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.60 : 3,050.07 = 1,690.76 : x
  2. Step 2: Convert to fraction form
    2,034.60/3,050.07 = 1,690.76/x
  3. Step 3: Cross multiply
    2,034.60x = 3,050.07 × 1,690.76
  4. Step 4: Simplify right side
    2,034.60x = 5,156,921.10
  5. Step 5: Solve for x
    x = 5,156,921.10/2,034.60
  6. Step 6: Final answer
    x = 2,534.61

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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.