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Finding the Fourth Proportional to 1,834.03, 2,751.66 and 1,220.16

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Solution

The fourth proportional to 1,834.03, 2,751.66 and 1,220.16 is: 1,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.03 : 2,751.66 = 1,220.16 : x
  2. Step 2: Convert to fraction form
    1,834.03/2,751.66 = 1,220.16/x
  3. Step 3: Cross multiply
    1,834.03x = 2,751.66 × 1,220.16
  4. Step 4: Simplify right side
    1,834.03x = 3,357,465.47
  5. Step 5: Solve for x
    x = 3,357,465.47/1,834.03
  6. Step 6: Final answer
    x = 1,830.65

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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.