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Finding the Fourth Proportional to 2,509.95, 3,764.94 and 1,029.98

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Solution

The fourth proportional to 2,509.95, 3,764.94 and 1,029.98 is: 1,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.95 : 3,764.94 = 1,029.98 : x
  2. Step 2: Convert to fraction form
    2,509.95/3,764.94 = 1,029.98/x
  3. Step 3: Cross multiply
    2,509.95x = 3,764.94 × 1,029.98
  4. Step 4: Simplify right side
    2,509.95x = 3,877,794.08
  5. Step 5: Solve for x
    x = 3,877,794.08/2,509.95
  6. Step 6: Final answer
    x = 1,544.97

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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.