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Finding the Fourth Proportional to 3,113.28, 4,671.99 and 1,165.50

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Solution

The fourth proportional to 3,113.28, 4,671.99 and 1,165.50 is: 1,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.28 : 4,671.99 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    3,113.28/4,671.99 = 1,165.50/x
  3. Step 3: Cross multiply
    3,113.28x = 4,671.99 × 1,165.50
  4. Step 4: Simplify right side
    3,113.28x = 5,445,204.35
  5. Step 5: Solve for x
    x = 5,445,204.35/3,113.28
  6. Step 6: Final answer
    x = 1,749.02

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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.