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Finding the Fourth Proportional to 1,646.91, 2,272.65 and 1,206.67

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Solution

The fourth proportional to 1,646.91, 2,272.65 and 1,206.67 is: 1,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.91 : 2,272.65 = 1,206.67 : x
  2. Step 2: Convert to fraction form
    1,646.91/2,272.65 = 1,206.67/x
  3. Step 3: Cross multiply
    1,646.91x = 2,272.65 × 1,206.67
  4. Step 4: Simplify right side
    1,646.91x = 2,742,338.58
  5. Step 5: Solve for x
    x = 2,742,338.58/1,646.91
  6. Step 6: Final answer
    x = 1,665.14

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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.