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Finding the Fourth Proportional to 2,875.36, 4,309.05 and 1,311.54

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Solution

The fourth proportional to 2,875.36, 4,309.05 and 1,311.54 is: 1,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.36 : 4,309.05 = 1,311.54 : x
  2. Step 2: Convert to fraction form
    2,875.36/4,309.05 = 1,311.54/x
  3. Step 3: Cross multiply
    2,875.36x = 4,309.05 × 1,311.54
  4. Step 4: Simplify right side
    2,875.36x = 5,651,491.44
  5. Step 5: Solve for x
    x = 5,651,491.44/2,875.36
  6. Step 6: Final answer
    x = 1,965.49

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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.