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Finding the Fourth Proportional to 3,236, 4,466.40 and 2,056.84

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Solution

The fourth proportional to 3,236, 4,466.40 and 2,056.84 is: 2,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236 : 4,466.40 = 2,056.84 : x
  2. Step 2: Convert to fraction form
    3,236/4,466.40 = 2,056.84/x
  3. Step 3: Cross multiply
    3,236x = 4,466.40 × 2,056.84
  4. Step 4: Simplify right side
    3,236x = 9,186,670.18
  5. Step 5: Solve for x
    x = 9,186,670.18/3,236
  6. Step 6: Final answer
    x = 2,838.90

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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.