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Finding the Fourth Proportional to 1,999.68, 2,996 and 1,708.16

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Solution

The fourth proportional to 1,999.68, 2,996 and 1,708.16 is: 2,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.68 : 2,996 = 1,708.16 : x
  2. Step 2: Convert to fraction form
    1,999.68/2,996 = 1,708.16/x
  3. Step 3: Cross multiply
    1,999.68x = 2,996 × 1,708.16
  4. Step 4: Simplify right side
    1,999.68x = 5,117,647.36
  5. Step 5: Solve for x
    x = 5,117,647.36/1,999.68
  6. Step 6: Final answer
    x = 2,559.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.