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Finding the Fourth Proportional to 2,301.29, 3,452.50 and 741.45

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Solution

The fourth proportional to 2,301.29, 3,452.50 and 741.45 is: 1,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.29 : 3,452.50 = 741.45 : x
  2. Step 2: Convert to fraction form
    2,301.29/3,452.50 = 741.45/x
  3. Step 3: Cross multiply
    2,301.29x = 3,452.50 × 741.45
  4. Step 4: Simplify right side
    2,301.29x = 2,559,850.58
  5. Step 5: Solve for x
    x = 2,559,850.58/2,301.29
  6. Step 6: Final answer
    x = 1,112.35

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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.