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Finding the Fourth Proportional to 1,591.65, 2,208.87 and 1,552.50

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Solution

The fourth proportional to 1,591.65, 2,208.87 and 1,552.50 is: 2,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.65 : 2,208.87 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    1,591.65/2,208.87 = 1,552.50/x
  3. Step 3: Cross multiply
    1,591.65x = 2,208.87 × 1,552.50
  4. Step 4: Simplify right side
    1,591.65x = 3,429,270.68
  5. Step 5: Solve for x
    x = 3,429,270.68/1,591.65
  6. Step 6: Final answer
    x = 2,154.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.