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Finding the Fourth Proportional to 4,699.78, 7,049.70 and 1,237

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Solution

The fourth proportional to 4,699.78, 7,049.70 and 1,237 is: 1,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.78 : 7,049.70 = 1,237 : x
  2. Step 2: Convert to fraction form
    4,699.78/7,049.70 = 1,237/x
  3. Step 3: Cross multiply
    4,699.78x = 7,049.70 × 1,237
  4. Step 4: Simplify right side
    4,699.78x = 8,720,478.90
  5. Step 5: Solve for x
    x = 8,720,478.90/4,699.78
  6. Step 6: Final answer
    x = 1,855.51

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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.