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Finding the Fourth Proportional to 1,494.65, 2,242.76 and 836.12

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Solution

The fourth proportional to 1,494.65, 2,242.76 and 836.12 is: 1,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.65 : 2,242.76 = 836.12 : x
  2. Step 2: Convert to fraction form
    1,494.65/2,242.76 = 836.12/x
  3. Step 3: Cross multiply
    1,494.65x = 2,242.76 × 836.12
  4. Step 4: Simplify right side
    1,494.65x = 1,875,201.10
  5. Step 5: Solve for x
    x = 1,875,201.10/1,494.65
  6. Step 6: Final answer
    x = 1,254.61

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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.