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Finding the Fourth Proportional to 1,865.38, 2,571.61 and 1,807.94

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Solution

The fourth proportional to 1,865.38, 2,571.61 and 1,807.94 is: 2,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.38 : 2,571.61 = 1,807.94 : x
  2. Step 2: Convert to fraction form
    1,865.38/2,571.61 = 1,807.94/x
  3. Step 3: Cross multiply
    1,865.38x = 2,571.61 × 1,807.94
  4. Step 4: Simplify right side
    1,865.38x = 4,649,316.58
  5. Step 5: Solve for x
    x = 4,649,316.58/1,865.38
  6. Step 6: Final answer
    x = 2,492.42

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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.