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Finding the Fourth Proportional to 1,309.16, 1,952.69 and 1,211.56

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Solution

The fourth proportional to 1,309.16, 1,952.69 and 1,211.56 is: 1,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.16 : 1,952.69 = 1,211.56 : x
  2. Step 2: Convert to fraction form
    1,309.16/1,952.69 = 1,211.56/x
  3. Step 3: Cross multiply
    1,309.16x = 1,952.69 × 1,211.56
  4. Step 4: Simplify right side
    1,309.16x = 2,365,801.10
  5. Step 5: Solve for x
    x = 2,365,801.10/1,309.16
  6. Step 6: Final answer
    x = 1,807.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.