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Finding the Fourth Proportional to 2,600.10, 3,595.05 and 2,272.05

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Solution

The fourth proportional to 2,600.10, 3,595.05 and 2,272.05 is: 3,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.10 : 3,595.05 = 2,272.05 : x
  2. Step 2: Convert to fraction form
    2,600.10/3,595.05 = 2,272.05/x
  3. Step 3: Cross multiply
    2,600.10x = 3,595.05 × 2,272.05
  4. Step 4: Simplify right side
    2,600.10x = 8,168,133.35
  5. Step 5: Solve for x
    x = 8,168,133.35/2,600.10
  6. Step 6: Final answer
    x = 3,141.47

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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.