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Finding the Fourth Proportional to 2,304.86, 3,437.23 and 2,175.46

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Solution

The fourth proportional to 2,304.86, 3,437.23 and 2,175.46 is: 3,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.86 : 3,437.23 = 2,175.46 : x
  2. Step 2: Convert to fraction form
    2,304.86/3,437.23 = 2,175.46/x
  3. Step 3: Cross multiply
    2,304.86x = 3,437.23 × 2,175.46
  4. Step 4: Simplify right side
    2,304.86x = 7,477,557.27
  5. Step 5: Solve for x
    x = 7,477,557.27/2,304.86
  6. Step 6: Final answer
    x = 3,244.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.