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Finding the Fourth Proportional to 1,834.98, 2,532.21 and 1,049.01

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Solution

The fourth proportional to 1,834.98, 2,532.21 and 1,049.01 is: 1,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.98 : 2,532.21 = 1,049.01 : x
  2. Step 2: Convert to fraction form
    1,834.98/2,532.21 = 1,049.01/x
  3. Step 3: Cross multiply
    1,834.98x = 2,532.21 × 1,049.01
  4. Step 4: Simplify right side
    1,834.98x = 2,656,313.61
  5. Step 5: Solve for x
    x = 2,656,313.61/1,834.98
  6. Step 6: Final answer
    x = 1,447.60

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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.