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Finding the Fourth Proportional to 1,688.99, 2,520.57 and 1,504.46

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Solution

The fourth proportional to 1,688.99, 2,520.57 and 1,504.46 is: 2,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.99 : 2,520.57 = 1,504.46 : x
  2. Step 2: Convert to fraction form
    1,688.99/2,520.57 = 1,504.46/x
  3. Step 3: Cross multiply
    1,688.99x = 2,520.57 × 1,504.46
  4. Step 4: Simplify right side
    1,688.99x = 3,792,084.14
  5. Step 5: Solve for x
    x = 3,792,084.14/1,688.99
  6. Step 6: Final answer
    x = 2,245.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.