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Finding the Fourth Proportional to 2,509.84, 3,764.58 and 778.42

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Solution

The fourth proportional to 2,509.84, 3,764.58 and 778.42 is: 1,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.84 : 3,764.58 = 778.42 : x
  2. Step 2: Convert to fraction form
    2,509.84/3,764.58 = 778.42/x
  3. Step 3: Cross multiply
    2,509.84x = 3,764.58 × 778.42
  4. Step 4: Simplify right side
    2,509.84x = 2,930,424.36
  5. Step 5: Solve for x
    x = 2,930,424.36/2,509.84
  6. Step 6: Final answer
    x = 1,167.57

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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.