Home / 1,623.78-2,431.98-973.26

Finding the Fourth Proportional to 1,623.78, 2,431.98 and 973.26

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Solution

The fourth proportional to 1,623.78, 2,431.98 and 973.26 is: 1,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.78 : 2,431.98 = 973.26 : x
  2. Step 2: Convert to fraction form
    1,623.78/2,431.98 = 973.26/x
  3. Step 3: Cross multiply
    1,623.78x = 2,431.98 × 973.26
  4. Step 4: Simplify right side
    1,623.78x = 2,366,948.85
  5. Step 5: Solve for x
    x = 2,366,948.85/1,623.78
  6. Step 6: Final answer
    x = 1,457.68

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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.