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Finding the Fourth Proportional to 3,071.84, 4,242.70 and 2,236.30

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Solution

The fourth proportional to 3,071.84, 4,242.70 and 2,236.30 is: 3,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.84 : 4,242.70 = 2,236.30 : x
  2. Step 2: Convert to fraction form
    3,071.84/4,242.70 = 2,236.30/x
  3. Step 3: Cross multiply
    3,071.84x = 4,242.70 × 2,236.30
  4. Step 4: Simplify right side
    3,071.84x = 9,487,950.01
  5. Step 5: Solve for x
    x = 9,487,950.01/3,071.84
  6. Step 6: Final answer
    x = 3,088.69

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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.