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Finding the Fourth Proportional to 1,835.17, 2,532.49 and 995.87

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Solution

The fourth proportional to 1,835.17, 2,532.49 and 995.87 is: 1,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.17 : 2,532.49 = 995.87 : x
  2. Step 2: Convert to fraction form
    1,835.17/2,532.49 = 995.87/x
  3. Step 3: Cross multiply
    1,835.17x = 2,532.49 × 995.87
  4. Step 4: Simplify right side
    1,835.17x = 2,522,025.84
  5. Step 5: Solve for x
    x = 2,522,025.84/1,835.17
  6. Step 6: Final answer
    x = 1,374.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.