Home / 1,762.06-2,431.68-976.10

Finding the Fourth Proportional to 1,762.06, 2,431.68 and 976.10

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Solution

The fourth proportional to 1,762.06, 2,431.68 and 976.10 is: 1,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.06 : 2,431.68 = 976.10 : x
  2. Step 2: Convert to fraction form
    1,762.06/2,431.68 = 976.10/x
  3. Step 3: Cross multiply
    1,762.06x = 2,431.68 × 976.10
  4. Step 4: Simplify right side
    1,762.06x = 2,373,562.85
  5. Step 5: Solve for x
    x = 2,373,562.85/1,762.06
  6. Step 6: Final answer
    x = 1,347.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.