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Finding the Fourth Proportional to 3,105.41, 4,658.04 and 1,461.04

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Solution

The fourth proportional to 3,105.41, 4,658.04 and 1,461.04 is: 2,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.41 : 4,658.04 = 1,461.04 : x
  2. Step 2: Convert to fraction form
    3,105.41/4,658.04 = 1,461.04/x
  3. Step 3: Cross multiply
    3,105.41x = 4,658.04 × 1,461.04
  4. Step 4: Simplify right side
    3,105.41x = 6,805,582.76
  5. Step 5: Solve for x
    x = 6,805,582.76/3,105.41
  6. Step 6: Final answer
    x = 2,191.53

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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.