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Finding the Fourth Proportional to 1,689.97, 2,332.26 and 944.02

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Solution

The fourth proportional to 1,689.97, 2,332.26 and 944.02 is: 1,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.97 : 2,332.26 = 944.02 : x
  2. Step 2: Convert to fraction form
    1,689.97/2,332.26 = 944.02/x
  3. Step 3: Cross multiply
    1,689.97x = 2,332.26 × 944.02
  4. Step 4: Simplify right side
    1,689.97x = 2,201,700.09
  5. Step 5: Solve for x
    x = 2,201,700.09/1,689.97
  6. Step 6: Final answer
    x = 1,302.80

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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.