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Finding the Fourth Proportional to 2,179.65, 3,007.87 and 1,184.93

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Solution

The fourth proportional to 2,179.65, 3,007.87 and 1,184.93 is: 1,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.65 : 3,007.87 = 1,184.93 : x
  2. Step 2: Convert to fraction form
    2,179.65/3,007.87 = 1,184.93/x
  3. Step 3: Cross multiply
    2,179.65x = 3,007.87 × 1,184.93
  4. Step 4: Simplify right side
    2,179.65x = 3,564,097.40
  5. Step 5: Solve for x
    x = 3,564,097.40/2,179.65
  6. Step 6: Final answer
    x = 1,635.17

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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.