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Finding the Fourth Proportional to 2,461.89, 3,693.44 and 730.52

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Solution

The fourth proportional to 2,461.89, 3,693.44 and 730.52 is: 1,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.89 : 3,693.44 = 730.52 : x
  2. Step 2: Convert to fraction form
    2,461.89/3,693.44 = 730.52/x
  3. Step 3: Cross multiply
    2,461.89x = 3,693.44 × 730.52
  4. Step 4: Simplify right side
    2,461.89x = 2,698,115.15
  5. Step 5: Solve for x
    x = 2,698,115.15/2,461.89
  6. Step 6: Final answer
    x = 1,095.95

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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.