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Finding the Fourth Proportional to 1,209.89, 1,815.51 and 1,117.01

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Solution

The fourth proportional to 1,209.89, 1,815.51 and 1,117.01 is: 1,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.89 : 1,815.51 = 1,117.01 : x
  2. Step 2: Convert to fraction form
    1,209.89/1,815.51 = 1,117.01/x
  3. Step 3: Cross multiply
    1,209.89x = 1,815.51 × 1,117.01
  4. Step 4: Simplify right side
    1,209.89x = 2,027,942.83
  5. Step 5: Solve for x
    x = 2,027,942.83/1,209.89
  6. Step 6: Final answer
    x = 1,676.14

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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.