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Finding the Fourth Proportional to 2,506.96, 3,758.80 and 2,369.28

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Solution

The fourth proportional to 2,506.96, 3,758.80 and 2,369.28 is: 3,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.96 : 3,758.80 = 2,369.28 : x
  2. Step 2: Convert to fraction form
    2,506.96/3,758.80 = 2,369.28/x
  3. Step 3: Cross multiply
    2,506.96x = 3,758.80 × 2,369.28
  4. Step 4: Simplify right side
    2,506.96x = 8,905,649.66
  5. Step 5: Solve for x
    x = 8,905,649.66/2,506.96
  6. Step 6: Final answer
    x = 3,552.37

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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.