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Finding the Fourth Proportional to 1,823.10, 2,733.31 and 898.41

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Solution

The fourth proportional to 1,823.10, 2,733.31 and 898.41 is: 1,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.10 : 2,733.31 = 898.41 : x
  2. Step 2: Convert to fraction form
    1,823.10/2,733.31 = 898.41/x
  3. Step 3: Cross multiply
    1,823.10x = 2,733.31 × 898.41
  4. Step 4: Simplify right side
    1,823.10x = 2,455,633.04
  5. Step 5: Solve for x
    x = 2,455,633.04/1,823.10
  6. Step 6: Final answer
    x = 1,346.95

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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.