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Finding the Fourth Proportional to 1,661.56, 2,492.34 and 1,447.72

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Solution

The fourth proportional to 1,661.56, 2,492.34 and 1,447.72 is: 2,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.56 : 2,492.34 = 1,447.72 : x
  2. Step 2: Convert to fraction form
    1,661.56/2,492.34 = 1,447.72/x
  3. Step 3: Cross multiply
    1,661.56x = 2,492.34 × 1,447.72
  4. Step 4: Simplify right side
    1,661.56x = 3,608,210.46
  5. Step 5: Solve for x
    x = 3,608,210.46/1,661.56
  6. Step 6: Final answer
    x = 2,171.58

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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.