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Finding the Fourth Proportional to 2,509.76, 3,763.08 and 1,047.12

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Solution

The fourth proportional to 2,509.76, 3,763.08 and 1,047.12 is: 1,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.76 : 3,763.08 = 1,047.12 : x
  2. Step 2: Convert to fraction form
    2,509.76/3,763.08 = 1,047.12/x
  3. Step 3: Cross multiply
    2,509.76x = 3,763.08 × 1,047.12
  4. Step 4: Simplify right side
    2,509.76x = 3,940,396.33
  5. Step 5: Solve for x
    x = 3,940,396.33/2,509.76
  6. Step 6: Final answer
    x = 1,570.03

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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.