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Finding the Fourth Proportional to 1,661.64, 2,495.70 and 1,353.72

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Solution

The fourth proportional to 1,661.64, 2,495.70 and 1,353.72 is: 2,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.64 : 2,495.70 = 1,353.72 : x
  2. Step 2: Convert to fraction form
    1,661.64/2,495.70 = 1,353.72/x
  3. Step 3: Cross multiply
    1,661.64x = 2,495.70 × 1,353.72
  4. Step 4: Simplify right side
    1,661.64x = 3,378,479.00
  5. Step 5: Solve for x
    x = 3,378,479.00/1,661.64
  6. Step 6: Final answer
    x = 2,033.22

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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.