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Finding the Fourth Proportional to 1,842.85, 2,764.28 and 456.17

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Solution

The fourth proportional to 1,842.85, 2,764.28 and 456.17 is: 684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.85 : 2,764.28 = 456.17 : x
  2. Step 2: Convert to fraction form
    1,842.85/2,764.28 = 456.17/x
  3. Step 3: Cross multiply
    1,842.85x = 2,764.28 × 456.17
  4. Step 4: Simplify right side
    1,842.85x = 1,260,971.54
  5. Step 5: Solve for x
    x = 1,260,971.54/1,842.85
  6. Step 6: Final answer
    x = 684.25

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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.