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Finding the Fourth Proportional to 2,372.90, 3,552.64 and 1,259.78

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Solution

The fourth proportional to 2,372.90, 3,552.64 and 1,259.78 is: 1,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.90 : 3,552.64 = 1,259.78 : x
  2. Step 2: Convert to fraction form
    2,372.90/3,552.64 = 1,259.78/x
  3. Step 3: Cross multiply
    2,372.90x = 3,552.64 × 1,259.78
  4. Step 4: Simplify right side
    2,372.90x = 4,475,544.82
  5. Step 5: Solve for x
    x = 4,475,544.82/2,372.90
  6. Step 6: Final answer
    x = 1,886.11

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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.