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Finding the Fourth Proportional to 2,509.62, 3,758.94 and 1,776.98

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Solution

The fourth proportional to 2,509.62, 3,758.94 and 1,776.98 is: 2,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.62 : 3,758.94 = 1,776.98 : x
  2. Step 2: Convert to fraction form
    2,509.62/3,758.94 = 1,776.98/x
  3. Step 3: Cross multiply
    2,509.62x = 3,758.94 × 1,776.98
  4. Step 4: Simplify right side
    2,509.62x = 6,679,542.41
  5. Step 5: Solve for x
    x = 6,679,542.41/2,509.62
  6. Step 6: Final answer
    x = 2,661.58

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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.