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Finding the Fourth Proportional to 2,345.23, 3,517.13 and 701.33

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Solution

The fourth proportional to 2,345.23, 3,517.13 and 701.33 is: 1,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.23 : 3,517.13 = 701.33 : x
  2. Step 2: Convert to fraction form
    2,345.23/3,517.13 = 701.33/x
  3. Step 3: Cross multiply
    2,345.23x = 3,517.13 × 701.33
  4. Step 4: Simplify right side
    2,345.23x = 2,466,679.33
  5. Step 5: Solve for x
    x = 2,466,679.33/2,345.23
  6. Step 6: Final answer
    x = 1,051.79

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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.