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Finding the Fourth Proportional to 3,134.96, 4,703.06 and 943.58

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Solution

The fourth proportional to 3,134.96, 4,703.06 and 943.58 is: 1,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.96 : 4,703.06 = 943.58 : x
  2. Step 2: Convert to fraction form
    3,134.96/4,703.06 = 943.58/x
  3. Step 3: Cross multiply
    3,134.96x = 4,703.06 × 943.58
  4. Step 4: Simplify right side
    3,134.96x = 4,437,713.35
  5. Step 5: Solve for x
    x = 4,437,713.35/3,134.96
  6. Step 6: Final answer
    x = 1,415.56

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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.