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Finding the Fourth Proportional to 2,917.35, 4,376.57 and 943.49

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Solution

The fourth proportional to 2,917.35, 4,376.57 and 943.49 is: 1,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.35 : 4,376.57 = 943.49 : x
  2. Step 2: Convert to fraction form
    2,917.35/4,376.57 = 943.49/x
  3. Step 3: Cross multiply
    2,917.35x = 4,376.57 × 943.49
  4. Step 4: Simplify right side
    2,917.35x = 4,129,256.25
  5. Step 5: Solve for x
    x = 4,129,256.25/2,917.35
  6. Step 6: Final answer
    x = 1,415.41

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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.