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Finding the Fourth Proportional to 1,842.13, 2,763.19 and 474.13

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Solution

The fourth proportional to 1,842.13, 2,763.19 and 474.13 is: 711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.13 : 2,763.19 = 474.13 : x
  2. Step 2: Convert to fraction form
    1,842.13/2,763.19 = 474.13/x
  3. Step 3: Cross multiply
    1,842.13x = 2,763.19 × 474.13
  4. Step 4: Simplify right side
    1,842.13x = 1,310,097.46
  5. Step 5: Solve for x
    x = 1,310,097.46/1,842.13
  6. Step 6: Final answer
    x = 711.19

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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.