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Finding the Fourth Proportional to 1,864.68, 2,573.84 and 1,201.53

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Solution

The fourth proportional to 1,864.68, 2,573.84 and 1,201.53 is: 1,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.68 : 2,573.84 = 1,201.53 : x
  2. Step 2: Convert to fraction form
    1,864.68/2,573.84 = 1,201.53/x
  3. Step 3: Cross multiply
    1,864.68x = 2,573.84 × 1,201.53
  4. Step 4: Simplify right side
    1,864.68x = 3,092,539.97
  5. Step 5: Solve for x
    x = 3,092,539.97/1,864.68
  6. Step 6: Final answer
    x = 1,658.48

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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.