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Finding the Fourth Proportional to 1,930.88, 2,903.04 and 1,548.80

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Solution

The fourth proportional to 1,930.88, 2,903.04 and 1,548.80 is: 2,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.88 : 2,903.04 = 1,548.80 : x
  2. Step 2: Convert to fraction form
    1,930.88/2,903.04 = 1,548.80/x
  3. Step 3: Cross multiply
    1,930.88x = 2,903.04 × 1,548.80
  4. Step 4: Simplify right side
    1,930.88x = 4,496,228.35
  5. Step 5: Solve for x
    x = 4,496,228.35/1,930.88
  6. Step 6: Final answer
    x = 2,328.59

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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.