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Finding the Fourth Proportional to 2,684.00, 3,702.29 and 1,676.28

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Solution

The fourth proportional to 2,684.00, 3,702.29 and 1,676.28 is: 2,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.00 : 3,702.29 = 1,676.28 : x
  2. Step 2: Convert to fraction form
    2,684.00/3,702.29 = 1,676.28/x
  3. Step 3: Cross multiply
    2,684.00x = 3,702.29 × 1,676.28
  4. Step 4: Simplify right side
    2,684.00x = 6,206,068.79
  5. Step 5: Solve for x
    x = 6,206,068.79/2,684.00
  6. Step 6: Final answer
    x = 2,312.24

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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.