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Finding the Fourth Proportional to 1,806.04, 2,708.08 and 928.18

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Solution

The fourth proportional to 1,806.04, 2,708.08 and 928.18 is: 1,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.04 : 2,708.08 = 928.18 : x
  2. Step 2: Convert to fraction form
    1,806.04/2,708.08 = 928.18/x
  3. Step 3: Cross multiply
    1,806.04x = 2,708.08 × 928.18
  4. Step 4: Simplify right side
    1,806.04x = 2,513,585.69
  5. Step 5: Solve for x
    x = 2,513,585.69/1,806.04
  6. Step 6: Final answer
    x = 1,391.77

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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.