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Finding the Fourth Proportional to 2,509.07, 3,762.23 and 1,992.39

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Solution

The fourth proportional to 2,509.07, 3,762.23 and 1,992.39 is: 2,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.07 : 3,762.23 = 1,992.39 : x
  2. Step 2: Convert to fraction form
    2,509.07/3,762.23 = 1,992.39/x
  3. Step 3: Cross multiply
    2,509.07x = 3,762.23 × 1,992.39
  4. Step 4: Simplify right side
    2,509.07x = 7,495,829.43
  5. Step 5: Solve for x
    x = 7,495,829.43/2,509.07
  6. Step 6: Final answer
    x = 2,987.49

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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.