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Finding the Fourth Proportional to 2,367.52, 3,262.74 and 1,703.22

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Solution

The fourth proportional to 2,367.52, 3,262.74 and 1,703.22 is: 2,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.52 : 3,262.74 = 1,703.22 : x
  2. Step 2: Convert to fraction form
    2,367.52/3,262.74 = 1,703.22/x
  3. Step 3: Cross multiply
    2,367.52x = 3,262.74 × 1,703.22
  4. Step 4: Simplify right side
    2,367.52x = 5,557,164.02
  5. Step 5: Solve for x
    x = 5,557,164.02/2,367.52
  6. Step 6: Final answer
    x = 2,347.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.