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Finding the Fourth Proportional to 2,488.56, 3,732.75 and 1,026.63

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Solution

The fourth proportional to 2,488.56, 3,732.75 and 1,026.63 is: 1,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.56 : 3,732.75 = 1,026.63 : x
  2. Step 2: Convert to fraction form
    2,488.56/3,732.75 = 1,026.63/x
  3. Step 3: Cross multiply
    2,488.56x = 3,732.75 × 1,026.63
  4. Step 4: Simplify right side
    2,488.56x = 3,832,153.13
  5. Step 5: Solve for x
    x = 3,832,153.13/2,488.56
  6. Step 6: Final answer
    x = 1,539.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.