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Finding the Fourth Proportional to 1,699.68, 2,551.32 and 1,428.70

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Solution

The fourth proportional to 1,699.68, 2,551.32 and 1,428.70 is: 2,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.68 : 2,551.32 = 1,428.70 : x
  2. Step 2: Convert to fraction form
    1,699.68/2,551.32 = 1,428.70/x
  3. Step 3: Cross multiply
    1,699.68x = 2,551.32 × 1,428.70
  4. Step 4: Simplify right side
    1,699.68x = 3,645,070.88
  5. Step 5: Solve for x
    x = 3,645,070.88/1,699.68
  6. Step 6: Final answer
    x = 2,144.56

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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.