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Finding the Fourth Proportional to 1,316.81, 1,969.40 and 1,171.58

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Solution

The fourth proportional to 1,316.81, 1,969.40 and 1,171.58 is: 1,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.81 : 1,969.40 = 1,171.58 : x
  2. Step 2: Convert to fraction form
    1,316.81/1,969.40 = 1,171.58/x
  3. Step 3: Cross multiply
    1,316.81x = 1,969.40 × 1,171.58
  4. Step 4: Simplify right side
    1,316.81x = 2,307,309.65
  5. Step 5: Solve for x
    x = 2,307,309.65/1,316.81
  6. Step 6: Final answer
    x = 1,752.20

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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.