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Finding the Fourth Proportional to 2,301.74, 3,452.93 and 741.23

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Solution

The fourth proportional to 2,301.74, 3,452.93 and 741.23 is: 1,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.74 : 3,452.93 = 741.23 : x
  2. Step 2: Convert to fraction form
    2,301.74/3,452.93 = 741.23/x
  3. Step 3: Cross multiply
    2,301.74x = 3,452.93 × 741.23
  4. Step 4: Simplify right side
    2,301.74x = 2,559,400.35
  5. Step 5: Solve for x
    x = 2,559,400.35/2,301.74
  6. Step 6: Final answer
    x = 1,111.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.