Home / 2,271.74-3,407.97-973.22

Finding the Fourth Proportional to 2,271.74, 3,407.97 and 973.22

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Solution

The fourth proportional to 2,271.74, 3,407.97 and 973.22 is: 1,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.74 : 3,407.97 = 973.22 : x
  2. Step 2: Convert to fraction form
    2,271.74/3,407.97 = 973.22/x
  3. Step 3: Cross multiply
    2,271.74x = 3,407.97 × 973.22
  4. Step 4: Simplify right side
    2,271.74x = 3,316,704.56
  5. Step 5: Solve for x
    x = 3,316,704.56/2,271.74
  6. Step 6: Final answer
    x = 1,459.98

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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.