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Finding the Fourth Proportional to 1,920.78, 2,880.36 and 604.10

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Solution

The fourth proportional to 1,920.78, 2,880.36 and 604.10 is: 905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.78 : 2,880.36 = 604.10 : x
  2. Step 2: Convert to fraction form
    1,920.78/2,880.36 = 604.10/x
  3. Step 3: Cross multiply
    1,920.78x = 2,880.36 × 604.10
  4. Step 4: Simplify right side
    1,920.78x = 1,740,011.07
  5. Step 5: Solve for x
    x = 1,740,011.07/1,920.78
  6. Step 6: Final answer
    x = 905.89

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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.