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Finding the Fourth Proportional to 1,762.31, 2,432.09 and 976.34

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Solution

The fourth proportional to 1,762.31, 2,432.09 and 976.34 is: 1,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.31 : 2,432.09 = 976.34 : x
  2. Step 2: Convert to fraction form
    1,762.31/2,432.09 = 976.34/x
  3. Step 3: Cross multiply
    1,762.31x = 2,432.09 × 976.34
  4. Step 4: Simplify right side
    1,762.31x = 2,374,546.75
  5. Step 5: Solve for x
    x = 2,374,546.75/1,762.31
  6. Step 6: Final answer
    x = 1,347.41

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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.