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Finding the Fourth Proportional to 2,697.58, 4,047.99 and 1,137.49

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Solution

The fourth proportional to 2,697.58, 4,047.99 and 1,137.49 is: 1,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.58 : 4,047.99 = 1,137.49 : x
  2. Step 2: Convert to fraction form
    2,697.58/4,047.99 = 1,137.49/x
  3. Step 3: Cross multiply
    2,697.58x = 4,047.99 × 1,137.49
  4. Step 4: Simplify right side
    2,697.58x = 4,604,548.15
  5. Step 5: Solve for x
    x = 4,604,548.15/2,697.58
  6. Step 6: Final answer
    x = 1,706.92

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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.