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Finding the Fourth Proportional to 2,770.65, 4,152.50 and 1,384.37

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Solution

The fourth proportional to 2,770.65, 4,152.50 and 1,384.37 is: 2,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.65 : 4,152.50 = 1,384.37 : x
  2. Step 2: Convert to fraction form
    2,770.65/4,152.50 = 1,384.37/x
  3. Step 3: Cross multiply
    2,770.65x = 4,152.50 × 1,384.37
  4. Step 4: Simplify right side
    2,770.65x = 5,748,610.27
  5. Step 5: Solve for x
    x = 5,748,610.27/2,770.65
  6. Step 6: Final answer
    x = 2,074.82

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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.