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Finding the Fourth Proportional to 2,364.99, 3,262.66 and 1,656.96

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Solution

The fourth proportional to 2,364.99, 3,262.66 and 1,656.96 is: 2,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.99 : 3,262.66 = 1,656.96 : x
  2. Step 2: Convert to fraction form
    2,364.99/3,262.66 = 1,656.96/x
  3. Step 3: Cross multiply
    2,364.99x = 3,262.66 × 1,656.96
  4. Step 4: Simplify right side
    2,364.99x = 5,406,092.97
  5. Step 5: Solve for x
    x = 5,406,092.97/2,364.99
  6. Step 6: Final answer
    x = 2,285.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.