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Finding the Fourth Proportional to 2,461.21, 3,691.74 and 612.30

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Solution

The fourth proportional to 2,461.21, 3,691.74 and 612.30 is: 918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.21 : 3,691.74 = 612.30 : x
  2. Step 2: Convert to fraction form
    2,461.21/3,691.74 = 612.30/x
  3. Step 3: Cross multiply
    2,461.21x = 3,691.74 × 612.30
  4. Step 4: Simplify right side
    2,461.21x = 2,260,468.54
  5. Step 5: Solve for x
    x = 2,260,468.54/2,461.21
  6. Step 6: Final answer
    x = 918.44

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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.