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Finding the Fourth Proportional to 1,640.61, 2,457.68 and 992.61

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Solution

The fourth proportional to 1,640.61, 2,457.68 and 992.61 is: 1,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.61 : 2,457.68 = 992.61 : x
  2. Step 2: Convert to fraction form
    1,640.61/2,457.68 = 992.61/x
  3. Step 3: Cross multiply
    1,640.61x = 2,457.68 × 992.61
  4. Step 4: Simplify right side
    1,640.61x = 2,439,512.78
  5. Step 5: Solve for x
    x = 2,439,512.78/1,640.61
  6. Step 6: Final answer
    x = 1,486.95

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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.