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Finding the Fourth Proportional to 4,434.69, 6,652.23 and 1,660.65

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Solution

The fourth proportional to 4,434.69, 6,652.23 and 1,660.65 is: 2,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.69 : 6,652.23 = 1,660.65 : x
  2. Step 2: Convert to fraction form
    4,434.69/6,652.23 = 1,660.65/x
  3. Step 3: Cross multiply
    4,434.69x = 6,652.23 × 1,660.65
  4. Step 4: Simplify right side
    4,434.69x = 11,047,025.75
  5. Step 5: Solve for x
    x = 11,047,025.75/4,434.69
  6. Step 6: Final answer
    x = 2,491.05

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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.