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Finding the Fourth Proportional to 2,461.65, 3,691.10 and 999.09

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Solution

The fourth proportional to 2,461.65, 3,691.10 and 999.09 is: 1,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.65 : 3,691.10 = 999.09 : x
  2. Step 2: Convert to fraction form
    2,461.65/3,691.10 = 999.09/x
  3. Step 3: Cross multiply
    2,461.65x = 3,691.10 × 999.09
  4. Step 4: Simplify right side
    2,461.65x = 3,687,736.10
  5. Step 5: Solve for x
    x = 3,687,736.10/2,461.65
  6. Step 6: Final answer
    x = 1,498.07

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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.