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Finding the Fourth Proportional to 1,976.34, 2,725.69 and 1,480.15

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Solution

The fourth proportional to 1,976.34, 2,725.69 and 1,480.15 is: 2,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.34 : 2,725.69 = 1,480.15 : x
  2. Step 2: Convert to fraction form
    1,976.34/2,725.69 = 1,480.15/x
  3. Step 3: Cross multiply
    1,976.34x = 2,725.69 × 1,480.15
  4. Step 4: Simplify right side
    1,976.34x = 4,034,430.05
  5. Step 5: Solve for x
    x = 4,034,430.05/1,976.34
  6. Step 6: Final answer
    x = 2,041.36

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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.