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Finding the Fourth Proportional to 2,048.52, 2,826.06 and 1,302.21

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Solution

The fourth proportional to 2,048.52, 2,826.06 and 1,302.21 is: 1,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.52 : 2,826.06 = 1,302.21 : x
  2. Step 2: Convert to fraction form
    2,048.52/2,826.06 = 1,302.21/x
  3. Step 3: Cross multiply
    2,048.52x = 2,826.06 × 1,302.21
  4. Step 4: Simplify right side
    2,048.52x = 3,680,123.59
  5. Step 5: Solve for x
    x = 3,680,123.59/2,048.52
  6. Step 6: Final answer
    x = 1,796.48

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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.