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Finding the Fourth Proportional to 1,762.44, 2,432.16 and 976.49

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Solution

The fourth proportional to 1,762.44, 2,432.16 and 976.49 is: 1,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.44 : 2,432.16 = 976.49 : x
  2. Step 2: Convert to fraction form
    1,762.44/2,432.16 = 976.49/x
  3. Step 3: Cross multiply
    1,762.44x = 2,432.16 × 976.49
  4. Step 4: Simplify right side
    1,762.44x = 2,374,976.88
  5. Step 5: Solve for x
    x = 2,374,976.88/1,762.44
  6. Step 6: Final answer
    x = 1,347.55

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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.