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Finding the Fourth Proportional to 1,716.89, 2,570.96 and 1,167.39

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Solution

The fourth proportional to 1,716.89, 2,570.96 and 1,167.39 is: 1,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.89 : 2,570.96 = 1,167.39 : x
  2. Step 2: Convert to fraction form
    1,716.89/2,570.96 = 1,167.39/x
  3. Step 3: Cross multiply
    1,716.89x = 2,570.96 × 1,167.39
  4. Step 4: Simplify right side
    1,716.89x = 3,001,307.16
  5. Step 5: Solve for x
    x = 3,001,307.16/1,716.89
  6. Step 6: Final answer
    x = 1,748.11

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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.