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Finding the Fourth Proportional to 4,694.74, 7,044 and 1,773.88

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Solution

The fourth proportional to 4,694.74, 7,044 and 1,773.88 is: 2,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.74 : 7,044 = 1,773.88 : x
  2. Step 2: Convert to fraction form
    4,694.74/7,044 = 1,773.88/x
  3. Step 3: Cross multiply
    4,694.74x = 7,044 × 1,773.88
  4. Step 4: Simplify right side
    4,694.74x = 12,495,210.72
  5. Step 5: Solve for x
    x = 12,495,210.72/4,694.74
  6. Step 6: Final answer
    x = 2,661.53

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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.