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Finding the Fourth Proportional to 1,452.13, 2,003.33 and 954.11

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Solution

The fourth proportional to 1,452.13, 2,003.33 and 954.11 is: 1,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.13 : 2,003.33 = 954.11 : x
  2. Step 2: Convert to fraction form
    1,452.13/2,003.33 = 954.11/x
  3. Step 3: Cross multiply
    1,452.13x = 2,003.33 × 954.11
  4. Step 4: Simplify right side
    1,452.13x = 1,911,404.58
  5. Step 5: Solve for x
    x = 1,911,404.58/1,452.13
  6. Step 6: Final answer
    x = 1,316.28

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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.