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Finding the Fourth Proportional to 1,699.67, 2,539.16 and 1,422.86

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Solution

The fourth proportional to 1,699.67, 2,539.16 and 1,422.86 is: 2,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.67 : 2,539.16 = 1,422.86 : x
  2. Step 2: Convert to fraction form
    1,699.67/2,539.16 = 1,422.86/x
  3. Step 3: Cross multiply
    1,699.67x = 2,539.16 × 1,422.86
  4. Step 4: Simplify right side
    1,699.67x = 3,612,849.39
  5. Step 5: Solve for x
    x = 3,612,849.39/1,699.67
  6. Step 6: Final answer
    x = 2,125.62

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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.