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Finding the Fourth Proportional to 2,684.33, 3,702.33 and 2,352.16

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Solution

The fourth proportional to 2,684.33, 3,702.33 and 2,352.16 is: 3,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.33 : 3,702.33 = 2,352.16 : x
  2. Step 2: Convert to fraction form
    2,684.33/3,702.33 = 2,352.16/x
  3. Step 3: Cross multiply
    2,684.33x = 3,702.33 × 2,352.16
  4. Step 4: Simplify right side
    2,684.33x = 8,708,463.28
  5. Step 5: Solve for x
    x = 8,708,463.28/2,684.33
  6. Step 6: Final answer
    x = 3,244.19

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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.