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Finding the Fourth Proportional to 2,038.64, 3,042.72 and 1,759.76

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Solution

The fourth proportional to 2,038.64, 3,042.72 and 1,759.76 is: 2,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.64 : 3,042.72 = 1,759.76 : x
  2. Step 2: Convert to fraction form
    2,038.64/3,042.72 = 1,759.76/x
  3. Step 3: Cross multiply
    2,038.64x = 3,042.72 × 1,759.76
  4. Step 4: Simplify right side
    2,038.64x = 5,354,456.95
  5. Step 5: Solve for x
    x = 5,354,456.95/2,038.64
  6. Step 6: Final answer
    x = 2,626.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.