Home / 2,471.36-3,706-1,009.48

Finding the Fourth Proportional to 2,471.36, 3,706 and 1,009.48

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Solution

The fourth proportional to 2,471.36, 3,706 and 1,009.48 is: 1,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.36 : 3,706 = 1,009.48 : x
  2. Step 2: Convert to fraction form
    2,471.36/3,706 = 1,009.48/x
  3. Step 3: Cross multiply
    2,471.36x = 3,706 × 1,009.48
  4. Step 4: Simplify right side
    2,471.36x = 3,741,132.88
  5. Step 5: Solve for x
    x = 3,741,132.88/2,471.36
  6. Step 6: Final answer
    x = 1,513.80

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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.