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Finding the Fourth Proportional to 1,316.87, 1,815.13 and 1,209.59

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Solution

The fourth proportional to 1,316.87, 1,815.13 and 1,209.59 is: 1,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.87 : 1,815.13 = 1,209.59 : x
  2. Step 2: Convert to fraction form
    1,316.87/1,815.13 = 1,209.59/x
  3. Step 3: Cross multiply
    1,316.87x = 1,815.13 × 1,209.59
  4. Step 4: Simplify right side
    1,316.87x = 2,195,563.10
  5. Step 5: Solve for x
    x = 2,195,563.10/1,316.87
  6. Step 6: Final answer
    x = 1,667.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.