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Finding the Fourth Proportional to 2,304.93, 3,454.32 and 1,263.36

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Solution

The fourth proportional to 2,304.93, 3,454.32 and 1,263.36 is: 1,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.93 : 3,454.32 = 1,263.36 : x
  2. Step 2: Convert to fraction form
    2,304.93/3,454.32 = 1,263.36/x
  3. Step 3: Cross multiply
    2,304.93x = 3,454.32 × 1,263.36
  4. Step 4: Simplify right side
    2,304.93x = 4,364,049.72
  5. Step 5: Solve for x
    x = 4,364,049.72/2,304.93
  6. Step 6: Final answer
    x = 1,893.35

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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.