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Finding the Fourth Proportional to 2,047.55, 3,085.02 and 1,852.76

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Solution

The fourth proportional to 2,047.55, 3,085.02 and 1,852.76 is: 2,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.55 : 3,085.02 = 1,852.76 : x
  2. Step 2: Convert to fraction form
    2,047.55/3,085.02 = 1,852.76/x
  3. Step 3: Cross multiply
    2,047.55x = 3,085.02 × 1,852.76
  4. Step 4: Simplify right side
    2,047.55x = 5,715,809.37
  5. Step 5: Solve for x
    x = 5,715,809.37/2,047.55
  6. Step 6: Final answer
    x = 2,791.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.