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Finding the Fourth Proportional to 2,236, 3,085.56 and 1,291.76

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Solution

The fourth proportional to 2,236, 3,085.56 and 1,291.76 is: 1,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236 : 3,085.56 = 1,291.76 : x
  2. Step 2: Convert to fraction form
    2,236/3,085.56 = 1,291.76/x
  3. Step 3: Cross multiply
    2,236x = 3,085.56 × 1,291.76
  4. Step 4: Simplify right side
    2,236x = 3,985,802.99
  5. Step 5: Solve for x
    x = 3,985,802.99/2,236
  6. Step 6: Final answer
    x = 1,782.56

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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.