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Finding the Fourth Proportional to 1,915.76, 2,873.32 and 682.98

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Solution

The fourth proportional to 1,915.76, 2,873.32 and 682.98 is: 1,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.76 : 2,873.32 = 682.98 : x
  2. Step 2: Convert to fraction form
    1,915.76/2,873.32 = 682.98/x
  3. Step 3: Cross multiply
    1,915.76x = 2,873.32 × 682.98
  4. Step 4: Simplify right side
    1,915.76x = 1,962,420.09
  5. Step 5: Solve for x
    x = 1,962,420.09/1,915.76
  6. Step 6: Final answer
    x = 1,024.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.