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Finding the Fourth Proportional to 3,137.96, 4,703.88 and 1,494.07

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Solution

The fourth proportional to 3,137.96, 4,703.88 and 1,494.07 is: 2,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.96 : 4,703.88 = 1,494.07 : x
  2. Step 2: Convert to fraction form
    3,137.96/4,703.88 = 1,494.07/x
  3. Step 3: Cross multiply
    3,137.96x = 4,703.88 × 1,494.07
  4. Step 4: Simplify right side
    3,137.96x = 7,027,925.99
  5. Step 5: Solve for x
    x = 7,027,925.99/3,137.96
  6. Step 6: Final answer
    x = 2,239.65

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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.