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Finding the Fourth Proportional to 2,142.37, 3,211.08 and 907.93

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Solution

The fourth proportional to 2,142.37, 3,211.08 and 907.93 is: 1,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.37 : 3,211.08 = 907.93 : x
  2. Step 2: Convert to fraction form
    2,142.37/3,211.08 = 907.93/x
  3. Step 3: Cross multiply
    2,142.37x = 3,211.08 × 907.93
  4. Step 4: Simplify right side
    2,142.37x = 2,915,435.86
  5. Step 5: Solve for x
    x = 2,915,435.86/2,142.37
  6. Step 6: Final answer
    x = 1,360.85

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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.