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Finding the Fourth Proportional to 1,423.71, 2,135.07 and 874.26

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Solution

The fourth proportional to 1,423.71, 2,135.07 and 874.26 is: 1,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.71 : 2,135.07 = 874.26 : x
  2. Step 2: Convert to fraction form
    1,423.71/2,135.07 = 874.26/x
  3. Step 3: Cross multiply
    1,423.71x = 2,135.07 × 874.26
  4. Step 4: Simplify right side
    1,423.71x = 1,866,606.30
  5. Step 5: Solve for x
    x = 1,866,606.30/1,423.71
  6. Step 6: Final answer
    x = 1,311.09

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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.