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Finding the Fourth Proportional to 1,316.77, 1,969.34 and 1,171.54

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Solution

The fourth proportional to 1,316.77, 1,969.34 and 1,171.54 is: 1,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.77 : 1,969.34 = 1,171.54 : x
  2. Step 2: Convert to fraction form
    1,316.77/1,969.34 = 1,171.54/x
  3. Step 3: Cross multiply
    1,316.77x = 1,969.34 × 1,171.54
  4. Step 4: Simplify right side
    1,316.77x = 2,307,154.73
  5. Step 5: Solve for x
    x = 2,307,154.73/1,316.77
  6. Step 6: Final answer
    x = 1,752.14

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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.