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Finding the Fourth Proportional to 2,630.61, 3,630.96 and 1,746.09

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Solution

The fourth proportional to 2,630.61, 3,630.96 and 1,746.09 is: 2,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.61 : 3,630.96 = 1,746.09 : x
  2. Step 2: Convert to fraction form
    2,630.61/3,630.96 = 1,746.09/x
  3. Step 3: Cross multiply
    2,630.61x = 3,630.96 × 1,746.09
  4. Step 4: Simplify right side
    2,630.61x = 6,339,982.95
  5. Step 5: Solve for x
    x = 6,339,982.95/2,630.61
  6. Step 6: Final answer
    x = 2,410.08

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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.