Home / 1,762.40-2,432.13-976.43

Finding the Fourth Proportional to 1,762.40, 2,432.13 and 976.43

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Solution

The fourth proportional to 1,762.40, 2,432.13 and 976.43 is: 1,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.40 : 2,432.13 = 976.43 : x
  2. Step 2: Convert to fraction form
    1,762.40/2,432.13 = 976.43/x
  3. Step 3: Cross multiply
    1,762.40x = 2,432.13 × 976.43
  4. Step 4: Simplify right side
    1,762.40x = 2,374,804.70
  5. Step 5: Solve for x
    x = 2,374,804.70/1,762.40
  6. Step 6: Final answer
    x = 1,347.48

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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.