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Finding the Fourth Proportional to 3,107.56, 4,660.43 and 915.77

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Solution

The fourth proportional to 3,107.56, 4,660.43 and 915.77 is: 1,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.56 : 4,660.43 = 915.77 : x
  2. Step 2: Convert to fraction form
    3,107.56/4,660.43 = 915.77/x
  3. Step 3: Cross multiply
    3,107.56x = 4,660.43 × 915.77
  4. Step 4: Simplify right side
    3,107.56x = 4,267,881.98
  5. Step 5: Solve for x
    x = 4,267,881.98/3,107.56
  6. Step 6: Final answer
    x = 1,373.39

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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.