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Finding the Fourth Proportional to 1,762.74, 2,432.67 and 976.83

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Solution

The fourth proportional to 1,762.74, 2,432.67 and 976.83 is: 1,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.74 : 2,432.67 = 976.83 : x
  2. Step 2: Convert to fraction form
    1,762.74/2,432.67 = 976.83/x
  3. Step 3: Cross multiply
    1,762.74x = 2,432.67 × 976.83
  4. Step 4: Simplify right side
    1,762.74x = 2,376,305.04
  5. Step 5: Solve for x
    x = 2,376,305.04/1,762.74
  6. Step 6: Final answer
    x = 1,348.07

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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.