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Finding the Fourth Proportional to 1,598.49, 2,206.37 and 968.92

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Solution

The fourth proportional to 1,598.49, 2,206.37 and 968.92 is: 1,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.49 : 2,206.37 = 968.92 : x
  2. Step 2: Convert to fraction form
    1,598.49/2,206.37 = 968.92/x
  3. Step 3: Cross multiply
    1,598.49x = 2,206.37 × 968.92
  4. Step 4: Simplify right side
    1,598.49x = 2,137,796.02
  5. Step 5: Solve for x
    x = 2,137,796.02/1,598.49
  6. Step 6: Final answer
    x = 1,337.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.