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Finding the Fourth Proportional to 2,684.72, 4,025.85 and 1,746.74

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Solution

The fourth proportional to 2,684.72, 4,025.85 and 1,746.74 is: 2,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.72 : 4,025.85 = 1,746.74 : x
  2. Step 2: Convert to fraction form
    2,684.72/4,025.85 = 1,746.74/x
  3. Step 3: Cross multiply
    2,684.72x = 4,025.85 × 1,746.74
  4. Step 4: Simplify right side
    2,684.72x = 7,032,093.10
  5. Step 5: Solve for x
    x = 7,032,093.10/2,684.72
  6. Step 6: Final answer
    x = 2,619.31

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1.5x scale

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.