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Finding the Fourth Proportional to 1,688.54, 2,532.81 and 866.66

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Solution

The fourth proportional to 1,688.54, 2,532.81 and 866.66 is: 1,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.54 : 2,532.81 = 866.66 : x
  2. Step 2: Convert to fraction form
    1,688.54/2,532.81 = 866.66/x
  3. Step 3: Cross multiply
    1,688.54x = 2,532.81 × 866.66
  4. Step 4: Simplify right side
    1,688.54x = 2,195,085.11
  5. Step 5: Solve for x
    x = 2,195,085.11/1,688.54
  6. Step 6: Final answer
    x = 1,299.99

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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.