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Finding the Fourth Proportional to 2,304.64, 3,456.96 and 2,074.24

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Solution

The fourth proportional to 2,304.64, 3,456.96 and 2,074.24 is: 3,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.64 : 3,456.96 = 2,074.24 : x
  2. Step 2: Convert to fraction form
    2,304.64/3,456.96 = 2,074.24/x
  3. Step 3: Cross multiply
    2,304.64x = 3,456.96 × 2,074.24
  4. Step 4: Simplify right side
    2,304.64x = 7,170,564.71
  5. Step 5: Solve for x
    x = 7,170,564.71/2,304.64
  6. Step 6: Final answer
    x = 3,111.36

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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.