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Finding the Fourth Proportional to 4,888.50, 7,332.87 and 1,768.80

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Solution

The fourth proportional to 4,888.50, 7,332.87 and 1,768.80 is: 2,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.50 : 7,332.87 = 1,768.80 : x
  2. Step 2: Convert to fraction form
    4,888.50/7,332.87 = 1,768.80/x
  3. Step 3: Cross multiply
    4,888.50x = 7,332.87 × 1,768.80
  4. Step 4: Simplify right side
    4,888.50x = 12,970,380.46
  5. Step 5: Solve for x
    x = 12,970,380.46/4,888.50
  6. Step 6: Final answer
    x = 2,653.24

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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.