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Finding the Fourth Proportional to 2,509.64, 3,764.06 and 778.13

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Solution

The fourth proportional to 2,509.64, 3,764.06 and 778.13 is: 1,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.64 : 3,764.06 = 778.13 : x
  2. Step 2: Convert to fraction form
    2,509.64/3,764.06 = 778.13/x
  3. Step 3: Cross multiply
    2,509.64x = 3,764.06 × 778.13
  4. Step 4: Simplify right side
    2,509.64x = 2,928,936.45
  5. Step 5: Solve for x
    x = 2,928,936.45/2,509.64
  6. Step 6: Final answer
    x = 1,167.07

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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.