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Finding the Fourth Proportional to 3,085.76, 4,627.44 and 1,236.40

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Solution

The fourth proportional to 3,085.76, 4,627.44 and 1,236.40 is: 1,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.76 : 4,627.44 = 1,236.40 : x
  2. Step 2: Convert to fraction form
    3,085.76/4,627.44 = 1,236.40/x
  3. Step 3: Cross multiply
    3,085.76x = 4,627.44 × 1,236.40
  4. Step 4: Simplify right side
    3,085.76x = 5,721,366.82
  5. Step 5: Solve for x
    x = 5,721,366.82/3,085.76
  6. Step 6: Final answer
    x = 1,854.12

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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.