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Finding the Fourth Proportional to 3,491.64, 5,233.14 and 1,760.76

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Solution

The fourth proportional to 3,491.64, 5,233.14 and 1,760.76 is: 2,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.64 : 5,233.14 = 1,760.76 : x
  2. Step 2: Convert to fraction form
    3,491.64/5,233.14 = 1,760.76/x
  3. Step 3: Cross multiply
    3,491.64x = 5,233.14 × 1,760.76
  4. Step 4: Simplify right side
    3,491.64x = 9,214,303.59
  5. Step 5: Solve for x
    x = 9,214,303.59/3,491.64
  6. Step 6: Final answer
    x = 2,638.96

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1.5x scale

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.