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Finding the Fourth Proportional to 2,806.16, 4,209.08 and 754

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Solution

The fourth proportional to 2,806.16, 4,209.08 and 754 is: 1,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.16 : 4,209.08 = 754 : x
  2. Step 2: Convert to fraction form
    2,806.16/4,209.08 = 754/x
  3. Step 3: Cross multiply
    2,806.16x = 4,209.08 × 754
  4. Step 4: Simplify right side
    2,806.16x = 3,173,646.32
  5. Step 5: Solve for x
    x = 3,173,646.32/2,806.16
  6. Step 6: Final answer
    x = 1,130.96

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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.