Home / 2,271.97-3,408.15-973.13

Finding the Fourth Proportional to 2,271.97, 3,408.15 and 973.13

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Solution

The fourth proportional to 2,271.97, 3,408.15 and 973.13 is: 1,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.97 : 3,408.15 = 973.13 : x
  2. Step 2: Convert to fraction form
    2,271.97/3,408.15 = 973.13/x
  3. Step 3: Cross multiply
    2,271.97x = 3,408.15 × 973.13
  4. Step 4: Simplify right side
    2,271.97x = 3,316,573.01
  5. Step 5: Solve for x
    x = 3,316,573.01/2,271.97
  6. Step 6: Final answer
    x = 1,459.78

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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.