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Finding the Fourth Proportional to 2,454.63, 3,681.94 and 723.25

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Solution

The fourth proportional to 2,454.63, 3,681.94 and 723.25 is: 1,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.63 : 3,681.94 = 723.25 : x
  2. Step 2: Convert to fraction form
    2,454.63/3,681.94 = 723.25/x
  3. Step 3: Cross multiply
    2,454.63x = 3,681.94 × 723.25
  4. Step 4: Simplify right side
    2,454.63x = 2,662,963.11
  5. Step 5: Solve for x
    x = 2,662,963.11/2,454.63
  6. Step 6: Final answer
    x = 1,084.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.