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Finding the Fourth Proportional to 2,730.25, 3,767.75 and 1,488.25

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Solution

The fourth proportional to 2,730.25, 3,767.75 and 1,488.25 is: 2,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.25 : 3,767.75 = 1,488.25 : x
  2. Step 2: Convert to fraction form
    2,730.25/3,767.75 = 1,488.25/x
  3. Step 3: Cross multiply
    2,730.25x = 3,767.75 × 1,488.25
  4. Step 4: Simplify right side
    2,730.25x = 5,607,346.50
  5. Step 5: Solve for x
    x = 5,607,346.50/2,730.25
  6. Step 6: Final answer
    x = 2,053.79

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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.