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Finding the Fourth Proportional to 1,762.80, 2,432.65 and 976.85

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Solution

The fourth proportional to 1,762.80, 2,432.65 and 976.85 is: 1,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.80 : 2,432.65 = 976.85 : x
  2. Step 2: Convert to fraction form
    1,762.80/2,432.65 = 976.85/x
  3. Step 3: Cross multiply
    1,762.80x = 2,432.65 × 976.85
  4. Step 4: Simplify right side
    1,762.80x = 2,376,334.15
  5. Step 5: Solve for x
    x = 2,376,334.15/1,762.80
  6. Step 6: Final answer
    x = 1,348.05

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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.