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Finding the Fourth Proportional to 1,686.09, 2,329.08 and 1,528.91

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Solution

The fourth proportional to 1,686.09, 2,329.08 and 1,528.91 is: 2,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.09 : 2,329.08 = 1,528.91 : x
  2. Step 2: Convert to fraction form
    1,686.09/2,329.08 = 1,528.91/x
  3. Step 3: Cross multiply
    1,686.09x = 2,329.08 × 1,528.91
  4. Step 4: Simplify right side
    1,686.09x = 3,560,942.06
  5. Step 5: Solve for x
    x = 3,560,942.06/1,686.09
  6. Step 6: Final answer
    x = 2,111.95

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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.