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Finding the Fourth Proportional to 1,876.74, 2,812.23 and 1,465.26

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Solution

The fourth proportional to 1,876.74, 2,812.23 and 1,465.26 is: 2,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.74 : 2,812.23 = 1,465.26 : x
  2. Step 2: Convert to fraction form
    1,876.74/2,812.23 = 1,465.26/x
  3. Step 3: Cross multiply
    1,876.74x = 2,812.23 × 1,465.26
  4. Step 4: Simplify right side
    1,876.74x = 4,120,648.13
  5. Step 5: Solve for x
    x = 4,120,648.13/1,876.74
  6. Step 6: Final answer
    x = 2,195.64

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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.