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Finding the Fourth Proportional to 2,074.52, 3,107.72 and 1,207

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Solution

The fourth proportional to 2,074.52, 3,107.72 and 1,207 is: 1,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.52 : 3,107.72 = 1,207 : x
  2. Step 2: Convert to fraction form
    2,074.52/3,107.72 = 1,207/x
  3. Step 3: Cross multiply
    2,074.52x = 3,107.72 × 1,207
  4. Step 4: Simplify right side
    2,074.52x = 3,751,018.04
  5. Step 5: Solve for x
    x = 3,751,018.04/2,074.52
  6. Step 6: Final answer
    x = 1,808.14

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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.