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Finding the Fourth Proportional to 2,532.92, 3,800.70 and 1,146

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Solution

The fourth proportional to 2,532.92, 3,800.70 and 1,146 is: 1,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.92 : 3,800.70 = 1,146 : x
  2. Step 2: Convert to fraction form
    2,532.92/3,800.70 = 1,146/x
  3. Step 3: Cross multiply
    2,532.92x = 3,800.70 × 1,146
  4. Step 4: Simplify right side
    2,532.92x = 4,355,602.20
  5. Step 5: Solve for x
    x = 4,355,602.20/2,532.92
  6. Step 6: Final answer
    x = 1,719.60

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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.