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Finding the Fourth Proportional to 2,509.60, 3,764.58 and 778.36

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Solution

The fourth proportional to 2,509.60, 3,764.58 and 778.36 is: 1,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.60 : 3,764.58 = 778.36 : x
  2. Step 2: Convert to fraction form
    2,509.60/3,764.58 = 778.36/x
  3. Step 3: Cross multiply
    2,509.60x = 3,764.58 × 778.36
  4. Step 4: Simplify right side
    2,509.60x = 2,930,198.49
  5. Step 5: Solve for x
    x = 2,930,198.49/2,509.60
  6. Step 6: Final answer
    x = 1,167.60

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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.