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Finding the Fourth Proportional to 2,262.09, 3,375.15 and 1,985.07

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Solution

The fourth proportional to 2,262.09, 3,375.15 and 1,985.07 is: 2,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.09 : 3,375.15 = 1,985.07 : x
  2. Step 2: Convert to fraction form
    2,262.09/3,375.15 = 1,985.07/x
  3. Step 3: Cross multiply
    2,262.09x = 3,375.15 × 1,985.07
  4. Step 4: Simplify right side
    2,262.09x = 6,699,909.01
  5. Step 5: Solve for x
    x = 6,699,909.01/2,262.09
  6. Step 6: Final answer
    x = 2,961.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.