Home / 2,982-4,471.36-1,340.16

Finding the Fourth Proportional to 2,982, 4,471.36 and 1,340.16

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Solution

The fourth proportional to 2,982, 4,471.36 and 1,340.16 is: 2,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 4,471.36 = 1,340.16 : x
  2. Step 2: Convert to fraction form
    2,982/4,471.36 = 1,340.16/x
  3. Step 3: Cross multiply
    2,982x = 4,471.36 × 1,340.16
  4. Step 4: Simplify right side
    2,982x = 5,992,337.82
  5. Step 5: Solve for x
    x = 5,992,337.82/2,982
  6. Step 6: Final answer
    x = 2,009.50

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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.