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Finding the Fourth Proportional to 1,762.13, 2,431.74 and 976.23

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Solution

The fourth proportional to 1,762.13, 2,431.74 and 976.23 is: 1,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.13 : 2,431.74 = 976.23 : x
  2. Step 2: Convert to fraction form
    1,762.13/2,431.74 = 976.23/x
  3. Step 3: Cross multiply
    1,762.13x = 2,431.74 × 976.23
  4. Step 4: Simplify right side
    1,762.13x = 2,373,937.54
  5. Step 5: Solve for x
    x = 2,373,937.54/1,762.13
  6. Step 6: Final answer
    x = 1,347.20

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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.