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Finding the Fourth Proportional to 1,655.51, 2,282.37 and 1,418.44

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Solution

The fourth proportional to 1,655.51, 2,282.37 and 1,418.44 is: 1,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.51 : 2,282.37 = 1,418.44 : x
  2. Step 2: Convert to fraction form
    1,655.51/2,282.37 = 1,418.44/x
  3. Step 3: Cross multiply
    1,655.51x = 2,282.37 × 1,418.44
  4. Step 4: Simplify right side
    1,655.51x = 3,237,404.52
  5. Step 5: Solve for x
    x = 3,237,404.52/1,655.51
  6. Step 6: Final answer
    x = 1,955.53

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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.