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Finding the Fourth Proportional to 2,311.66, 3,465.15 and 830.44

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Solution

The fourth proportional to 2,311.66, 3,465.15 and 830.44 is: 1,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.66 : 3,465.15 = 830.44 : x
  2. Step 2: Convert to fraction form
    2,311.66/3,465.15 = 830.44/x
  3. Step 3: Cross multiply
    2,311.66x = 3,465.15 × 830.44
  4. Step 4: Simplify right side
    2,311.66x = 2,877,599.17
  5. Step 5: Solve for x
    x = 2,877,599.17/2,311.66
  6. Step 6: Final answer
    x = 1,244.82

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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.