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Finding the Fourth Proportional to 2,454.63, 3,681.96 and 605.76

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Solution

The fourth proportional to 2,454.63, 3,681.96 and 605.76 is: 908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.63 : 3,681.96 = 605.76 : x
  2. Step 2: Convert to fraction form
    2,454.63/3,681.96 = 605.76/x
  3. Step 3: Cross multiply
    2,454.63x = 3,681.96 × 605.76
  4. Step 4: Simplify right side
    2,454.63x = 2,230,384.09
  5. Step 5: Solve for x
    x = 2,230,384.09/2,454.63
  6. Step 6: Final answer
    x = 908.64

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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.