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Finding the Fourth Proportional to 1,669.25, 2,302.06 and 1,071.06

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Solution

The fourth proportional to 1,669.25, 2,302.06 and 1,071.06 is: 1,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.25 : 2,302.06 = 1,071.06 : x
  2. Step 2: Convert to fraction form
    1,669.25/2,302.06 = 1,071.06/x
  3. Step 3: Cross multiply
    1,669.25x = 2,302.06 × 1,071.06
  4. Step 4: Simplify right side
    1,669.25x = 2,465,635.08
  5. Step 5: Solve for x
    x = 2,465,635.08/1,669.25
  6. Step 6: Final answer
    x = 1,477.09

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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.