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Finding the Fourth Proportional to 2,509.40, 3,764.44 and 842.96

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Solution

The fourth proportional to 2,509.40, 3,764.44 and 842.96 is: 1,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.40 : 3,764.44 = 842.96 : x
  2. Step 2: Convert to fraction form
    2,509.40/3,764.44 = 842.96/x
  3. Step 3: Cross multiply
    2,509.40x = 3,764.44 × 842.96
  4. Step 4: Simplify right side
    2,509.40x = 3,173,272.34
  5. Step 5: Solve for x
    x = 3,173,272.34/2,509.40
  6. Step 6: Final answer
    x = 1,264.55

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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.