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Finding the Fourth Proportional to 1,872.78, 2,804.13 and 1,678.38

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Solution

The fourth proportional to 1,872.78, 2,804.13 and 1,678.38 is: 2,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.78 : 2,804.13 = 1,678.38 : x
  2. Step 2: Convert to fraction form
    1,872.78/2,804.13 = 1,678.38/x
  3. Step 3: Cross multiply
    1,872.78x = 2,804.13 × 1,678.38
  4. Step 4: Simplify right side
    1,872.78x = 4,706,395.71
  5. Step 5: Solve for x
    x = 4,706,395.71/1,872.78
  6. Step 6: Final answer
    x = 2,513.05

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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.