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Finding the Fourth Proportional to 2,178.65, 3,007.58 and 1,550.49

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Solution

The fourth proportional to 2,178.65, 3,007.58 and 1,550.49 is: 2,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.65 : 3,007.58 = 1,550.49 : x
  2. Step 2: Convert to fraction form
    2,178.65/3,007.58 = 1,550.49/x
  3. Step 3: Cross multiply
    2,178.65x = 3,007.58 × 1,550.49
  4. Step 4: Simplify right side
    2,178.65x = 4,663,222.71
  5. Step 5: Solve for x
    x = 4,663,222.71/2,178.65
  6. Step 6: Final answer
    x = 2,140.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.