Home / 1,762.08-2,431.24-976.13

Finding the Fourth Proportional to 1,762.08, 2,431.24 and 976.13

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Solution

The fourth proportional to 1,762.08, 2,431.24 and 976.13 is: 1,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.08 : 2,431.24 = 976.13 : x
  2. Step 2: Convert to fraction form
    1,762.08/2,431.24 = 976.13/x
  3. Step 3: Cross multiply
    1,762.08x = 2,431.24 × 976.13
  4. Step 4: Simplify right side
    1,762.08x = 2,373,206.30
  5. Step 5: Solve for x
    x = 2,373,206.30/1,762.08
  6. Step 6: Final answer
    x = 1,346.82

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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.