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Finding the Fourth Proportional to 2,647.99, 3,973.56 and 1,005.92

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Solution

The fourth proportional to 2,647.99, 3,973.56 and 1,005.92 is: 1,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.99 : 3,973.56 = 1,005.92 : x
  2. Step 2: Convert to fraction form
    2,647.99/3,973.56 = 1,005.92/x
  3. Step 3: Cross multiply
    2,647.99x = 3,973.56 × 1,005.92
  4. Step 4: Simplify right side
    2,647.99x = 3,997,074.74
  5. Step 5: Solve for x
    x = 3,997,074.74/2,647.99
  6. Step 6: Final answer
    x = 1,509.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.