Home / 2,433.03-3,649.74-971.38

Finding the Fourth Proportional to 2,433.03, 3,649.74 and 971.38

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Solution

The fourth proportional to 2,433.03, 3,649.74 and 971.38 is: 1,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.03 : 3,649.74 = 971.38 : x
  2. Step 2: Convert to fraction form
    2,433.03/3,649.74 = 971.38/x
  3. Step 3: Cross multiply
    2,433.03x = 3,649.74 × 971.38
  4. Step 4: Simplify right side
    2,433.03x = 3,545,284.44
  5. Step 5: Solve for x
    x = 3,545,284.44/2,433.03
  6. Step 6: Final answer
    x = 1,457.15

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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.