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Finding the Fourth Proportional to 2,460.67, 3,691.05 and 999.70

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Solution

The fourth proportional to 2,460.67, 3,691.05 and 999.70 is: 1,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.67 : 3,691.05 = 999.70 : x
  2. Step 2: Convert to fraction form
    2,460.67/3,691.05 = 999.70/x
  3. Step 3: Cross multiply
    2,460.67x = 3,691.05 × 999.70
  4. Step 4: Simplify right side
    2,460.67x = 3,689,942.69
  5. Step 5: Solve for x
    x = 3,689,942.69/2,460.67
  6. Step 6: Final answer
    x = 1,499.57

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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.