Home / 2,272.51-3,408.83-973.13

Finding the Fourth Proportional to 2,272.51, 3,408.83 and 973.13

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Solution

The fourth proportional to 2,272.51, 3,408.83 and 973.13 is: 1,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.51 : 3,408.83 = 973.13 : x
  2. Step 2: Convert to fraction form
    2,272.51/3,408.83 = 973.13/x
  3. Step 3: Cross multiply
    2,272.51x = 3,408.83 × 973.13
  4. Step 4: Simplify right side
    2,272.51x = 3,317,234.74
  5. Step 5: Solve for x
    x = 3,317,234.74/2,272.51
  6. Step 6: Final answer
    x = 1,459.72

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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.