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Finding the Fourth Proportional to 2,690.02, 4,034.85 and 841.15

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Solution

The fourth proportional to 2,690.02, 4,034.85 and 841.15 is: 1,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.02 : 4,034.85 = 841.15 : x
  2. Step 2: Convert to fraction form
    2,690.02/4,034.85 = 841.15/x
  3. Step 3: Cross multiply
    2,690.02x = 4,034.85 × 841.15
  4. Step 4: Simplify right side
    2,690.02x = 3,393,914.08
  5. Step 5: Solve for x
    x = 3,393,914.08/2,690.02
  6. Step 6: Final answer
    x = 1,261.67

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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.