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Finding the Fourth Proportional to 2,834.04, 3,911.04 and 1,654.68

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Solution

The fourth proportional to 2,834.04, 3,911.04 and 1,654.68 is: 2,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.04 : 3,911.04 = 1,654.68 : x
  2. Step 2: Convert to fraction form
    2,834.04/3,911.04 = 1,654.68/x
  3. Step 3: Cross multiply
    2,834.04x = 3,911.04 × 1,654.68
  4. Step 4: Simplify right side
    2,834.04x = 6,471,519.67
  5. Step 5: Solve for x
    x = 6,471,519.67/2,834.04
  6. Step 6: Final answer
    x = 2,283.50

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1.5x scale

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.