Home / 2,271.80-3,405.90-972.20

Finding the Fourth Proportional to 2,271.80, 3,405.90 and 972.20

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Solution

The fourth proportional to 2,271.80, 3,405.90 and 972.20 is: 1,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.80 : 3,405.90 = 972.20 : x
  2. Step 2: Convert to fraction form
    2,271.80/3,405.90 = 972.20/x
  3. Step 3: Cross multiply
    2,271.80x = 3,405.90 × 972.20
  4. Step 4: Simplify right side
    2,271.80x = 3,311,215.98
  5. Step 5: Solve for x
    x = 3,311,215.98/2,271.80
  6. Step 6: Final answer
    x = 1,457.53

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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.