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Finding the Fourth Proportional to 1,823.47, 2,735.97 and 899.03

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Solution

The fourth proportional to 1,823.47, 2,735.97 and 899.03 is: 1,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.47 : 2,735.97 = 899.03 : x
  2. Step 2: Convert to fraction form
    1,823.47/2,735.97 = 899.03/x
  3. Step 3: Cross multiply
    1,823.47x = 2,735.97 × 899.03
  4. Step 4: Simplify right side
    1,823.47x = 2,459,719.11
  5. Step 5: Solve for x
    x = 2,459,719.11/1,823.47
  6. Step 6: Final answer
    x = 1,348.92

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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.