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Finding the Fourth Proportional to 2,047.76, 2,826.75 and 1,385.51

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Solution

The fourth proportional to 2,047.76, 2,826.75 and 1,385.51 is: 1,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.76 : 2,826.75 = 1,385.51 : x
  2. Step 2: Convert to fraction form
    2,047.76/2,826.75 = 1,385.51/x
  3. Step 3: Cross multiply
    2,047.76x = 2,826.75 × 1,385.51
  4. Step 4: Simplify right side
    2,047.76x = 3,916,490.39
  5. Step 5: Solve for x
    x = 3,916,490.39/2,047.76
  6. Step 6: Final answer
    x = 1,912.57

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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.