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Finding the Fourth Proportional to 4,787.76, 7,180.24 and 1,666.92

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Solution

The fourth proportional to 4,787.76, 7,180.24 and 1,666.92 is: 2,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.76 : 7,180.24 = 1,666.92 : x
  2. Step 2: Convert to fraction form
    4,787.76/7,180.24 = 1,666.92/x
  3. Step 3: Cross multiply
    4,787.76x = 7,180.24 × 1,666.92
  4. Step 4: Simplify right side
    4,787.76x = 11,968,885.66
  5. Step 5: Solve for x
    x = 11,968,885.66/4,787.76
  6. Step 6: Final answer
    x = 2,499.89

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1.5x scale

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.