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Finding the Fourth Proportional to 1,935.68, 2,673.96 and 1,542.24

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Solution

The fourth proportional to 1,935.68, 2,673.96 and 1,542.24 is: 2,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.68 : 2,673.96 = 1,542.24 : x
  2. Step 2: Convert to fraction form
    1,935.68/2,673.96 = 1,542.24/x
  3. Step 3: Cross multiply
    1,935.68x = 2,673.96 × 1,542.24
  4. Step 4: Simplify right side
    1,935.68x = 4,123,888.07
  5. Step 5: Solve for x
    x = 4,123,888.07/1,935.68
  6. Step 6: Final answer
    x = 2,130.46

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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.