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Finding the Fourth Proportional to 2,509.34, 3,764.34 and 1,048.14

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Solution

The fourth proportional to 2,509.34, 3,764.34 and 1,048.14 is: 1,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.34 : 3,764.34 = 1,048.14 : x
  2. Step 2: Convert to fraction form
    2,509.34/3,764.34 = 1,048.14/x
  3. Step 3: Cross multiply
    2,509.34x = 3,764.34 × 1,048.14
  4. Step 4: Simplify right side
    2,509.34x = 3,945,555.33
  5. Step 5: Solve for x
    x = 3,945,555.33/2,509.34
  6. Step 6: Final answer
    x = 1,572.35

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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.