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Finding the Fourth Proportional to 3,068.24, 4,601.49 and 876.38

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Solution

The fourth proportional to 3,068.24, 4,601.49 and 876.38 is: 1,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.24 : 4,601.49 = 876.38 : x
  2. Step 2: Convert to fraction form
    3,068.24/4,601.49 = 876.38/x
  3. Step 3: Cross multiply
    3,068.24x = 4,601.49 × 876.38
  4. Step 4: Simplify right side
    3,068.24x = 4,032,653.81
  5. Step 5: Solve for x
    x = 4,032,653.81/3,068.24
  6. Step 6: Final answer
    x = 1,314.32

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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.