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Finding the Fourth Proportional to 2,451.92, 3,677.78 and 602.94

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Solution

The fourth proportional to 2,451.92, 3,677.78 and 602.94 is: 904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.92 : 3,677.78 = 602.94 : x
  2. Step 2: Convert to fraction form
    2,451.92/3,677.78 = 602.94/x
  3. Step 3: Cross multiply
    2,451.92x = 3,677.78 × 602.94
  4. Step 4: Simplify right side
    2,451.92x = 2,217,477.66
  5. Step 5: Solve for x
    x = 2,217,477.66/2,451.92
  6. Step 6: Final answer
    x = 904.39

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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.