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Finding the Fourth Proportional to 1,224.26, 1,834.04 and 977.94

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Solution

The fourth proportional to 1,224.26, 1,834.04 and 977.94 is: 1,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.26 : 1,834.04 = 977.94 : x
  2. Step 2: Convert to fraction form
    1,224.26/1,834.04 = 977.94/x
  3. Step 3: Cross multiply
    1,224.26x = 1,834.04 × 977.94
  4. Step 4: Simplify right side
    1,224.26x = 1,793,581.08
  5. Step 5: Solve for x
    x = 1,793,581.08/1,224.26
  6. Step 6: Final answer
    x = 1,465.03

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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.