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Finding the Fourth Proportional to 1,642.07, 2,265.83 and 943.45

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Solution

The fourth proportional to 1,642.07, 2,265.83 and 943.45 is: 1,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.07 : 2,265.83 = 943.45 : x
  2. Step 2: Convert to fraction form
    1,642.07/2,265.83 = 943.45/x
  3. Step 3: Cross multiply
    1,642.07x = 2,265.83 × 943.45
  4. Step 4: Simplify right side
    1,642.07x = 2,137,685.98
  5. Step 5: Solve for x
    x = 2,137,685.98/1,642.07
  6. Step 6: Final answer
    x = 1,301.82

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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.